Least Common Multiple of 8420/42, 1070/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8420/42, 1070/312 quickly i.e. 900940/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8420/42, 1070/312 is 900940/6.

LCM(8420/42, 1070/312) = 900940/6

LCM of 8420/42, 1070/312

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 8420/42,1070/312

Given numbers are 8420/42,1070/312

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 8420,1070

Least Common Multiple of Numerators i.e. LCM of 8420,1070 is 900940.

GCF of Denominators means GCF of 42,312 as per the given fractions.

GCF of 42,312 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8420,1070

LCM of Fractions 8420/42,1070/312 is 900940/6

2 8420, 1070
5 4210, 535
842, 107

∴ So the LCM of the given numbers is 2 x 5 x 842 x 107 = 900940

Least Common Multiple of 8420,1070 with GCF Formula

Least Common Multiple of 8420,1070 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 8420,1070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8420,1070) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(8420,1070) x common factors =10 x 1 = 10

LCM(8420,1070) = ( 8420 × 1070 ) / 10

LCM(8420,1070) = 9009400 / 10

LCM(8420,1070) = 900940


Lets's calculate GCF of 42,312

2 42, 312
3 21, 156
7, 52

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 900940/6

Therefore the LCM of Fractions 8420/42,1070/312 is 900940/6

Greatest Common Factor of 42,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,312 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 42,312 . The biggest common factor number is the GCF number.
So the greatest common factor 42,312 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8420/42, 1070/312

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 8420/42, 1070/312?

Answer: LCM of Numerators as per given numbers 8420/42, 1070/312 is

LCM of Numerators i.e. for 8420,1070 is 900940

GCF of denominators i.e. for 42,312 is 6.

Thus, LCM of Fractions is 900940/6.Finally, LCM of Fractions for 8420/42, 1070/312 is 900940/6.