Least Common Multiple of 3036/142, 1978/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3036/142, 1978/956 quickly i.e. 65274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3036/142, 1978/956 is 65274.

LCM(3036/142, 1978/956) = 65274

LCM of 3036/142, 1978/956

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 3036/142,1978/956

Given numbers are 3036/142,1978/956

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 3036,1978

Least Common Multiple of Numerators i.e. LCM of 3036,1978 is 130548.

GCF of Denominators means GCF of 142,956 as per the given fractions.

GCF of 142,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3036,1978

LCM of Fractions 3036/142,1978/956 is 65274

2 3036, 1978
23 1518, 989
66, 43

∴ So the LCM of the given numbers is 2 x 23 x 66 x 43 = 130548

Least Common Multiple of 3036,1978 with GCF Formula

Least Common Multiple of 3036,1978 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 3036,1978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3036,1978) = 46

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

GCF(3036,1978) x common factors =46 x 1 = 46

LCM(3036,1978) = ( 3036 × 1978 ) / 46

LCM(3036,1978) = 6005208 / 46

LCM(3036,1978) = 130548


Lets's calculate GCF of 142,956

2 142, 956
71, 478

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130548/2

Therefore the LCM of Fractions 3036/142,1978/956 is 65274

Greatest Common Factor of 142,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,956 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 142,956 . The biggest common factor number is the GCF number.
So the greatest common factor 142,956 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3036/142, 1978/956

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 3036/142, 1978/956?

Answer: LCM of Numerators as per given numbers 3036/142, 1978/956 is

LCM of Numerators i.e. for 3036,1978 is 130548

GCF of denominators i.e. for 142,956 is 2.

Thus, LCM of Fractions is 65274.Finally, LCM of Fractions for 3036/142, 1978/956 is 65274.