Lcd Of 8 And 20

LCM of 8 and 20 is 40. The LCM of any two integers in mathematics is the value that is evenly divisible by the 2 values. Amongst all common multiples of 8 and 20, the LCM of eight and 20 is the smallest. The starting time few multiples of eight and twenty are (eight, 16, 24, 32, etc.) and (20, forty, threescore, eighty, 100, etc.). To find the LCM of 2 Numbers that is 8 and 20, there are three typical methods: prime factorization, segmentation method, and listing multiples.

Besides read: To the lowest degree common multiple

What is LCM of eight and xx?

The answer to this question is 40. The LCM of 8 and 20 using diverse methods is shown in this commodity for your reference. The LCM of ii non-zero integers, eight and xx, is the smallest positive integer xl which is divisible by both 8 and 20 with no remainder.

lcm of 8 and 20

How to Notice LCM of viii and twenty?

LCM of 8 and twenty can be found using iii methods:

Prime Factorisation
Division method
Listing the multiples

LCM of 8 and xx Using Prime number Factorisation Method

The prime factorisation of 8 and 20, respectively, is given by:

(2 × 2 × 2) = ii³ and (two × 2 × 5) = iiⁱⁱ × 5¹

LCM (8, 20) = 40

LCM of 8 and 20 Using Partitioning Method

Nosotros'll split the numbers (8, twenty) by their prime number factors to get the LCM of 8 and 20 using the division method (preferably common). The LCM of 8 and 20 is calculated by multiplying these divisors.

2	8	20
2	4	10
2	2	5
5	i	5
ten	1	i

No further division tin be done.

Hence, LCM (8, 20) = xl

LCM of 8 and 20 Using Listing the Multiples

To calculate the LCM of 8 and 20 past listing out the common multiples, list the multiples as shown beneath.

Multiples of 8	Multiples of twenty
8	xx
16	xl
24	60
32	lxxx
40	100

The smallest common multiple of eight and 20 is 40.

LCM (viii, 20) = 40

HCF and LCM
Prime Factorization
LCM calculator
Prime Factorization Estimator

Video Lesson on Applications of LCM

LCM of 8 and 20 Solved Instance

The GCD and LCM of two numbers are 4 and 40 respectively. If one number is twenty, discover the other number.

Solution:

Allow the other number be y.

∵ GCD × LCM = twenty × y

⇒ y = (GCD × LCM)/xx

⇒ y = (4 × xl)/20

⇒ y = 8

Therefore, the other number is eight.

Oft Asked Questions on LCM of 8 and 20

What is the LCM of viii and 20?

The LCM of viii and 20 is xl. To observe the LCM of 8 and xx, we need to find the multiples of eight and 20 (multiples of eight = 8, 16, 24, 32 . . . . 40; multiples of 20 = twenty, twoscore, 60, 80) and choose the smallest multiple that is exactly divisible by 8 and 20, i.due east., 40.

List the methods used to find the LCM of 8 and twenty.

The methods used to notice the LCM of eight and 20 are the Prime number Factorization Method, Division Method and List multiples.

If the LCM of 20 and 8 is forty, Find its GCF.

LCM(20, eight) × GCF(20, viii) = 20 × eight
Since the LCM of 20 and 8 = twoscore
⇒ 40 × GCF(20, 8) = 160
Therefore, the GCF (greatest common factor) = 160/40 = 4.