Least Common Multiple of 674/62, 973/64, 656/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/62, 973/64, 656/42 quickly i.e. 107551528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/62, 973/64, 656/42 is 107551528.

LCM(674/62, 973/64, 656/42) = 107551528

LCM of 674/62, 973/64, 656/42

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 674/62,973/64,656/42

Given numbers are 674/62,973/64,656/42

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 674,973,656

Least Common Multiple of Numerators i.e. LCM of 674,973,656 is 215103056.

GCF of Denominators means GCF of 62,64,42 as per the given fractions.

GCF of 62,64,42 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,973,656

LCM of Fractions 674/62,973/64,656/42 is 107551528

2 674, 973, 656
337, 973, 328

∴ So the LCM of the given numbers is 2 x 337 x 973 x 328 = 215103056

Least Common Multiple of 674,973,656 with GCF Formula

Least Common Multiple of 674,973,656 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 674,973,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,973,656) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(674,973,656) x common factors =1 x 2 = 2

LCM(674,973,656) = ( 674 × 973 × 656 ) / 2

LCM(674,973,656) = 430206112 / 2

LCM(674,973,656) = 215103056


Lets's calculate GCF of 62,64,42

2 62, 64, 42
31, 32, 21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215103056/2

Therefore the LCM of Fractions 674/62,973/64,656/42 is 107551528

Greatest Common Factor of 62,64,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,64,42 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 42

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

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

Greatest Common Factor

We found the factors 62,64,42 . The biggest common factor number is the GCF number.
So the greatest common factor 62,64,42 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 674/62, 973/64, 656/42

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 674/62, 973/64, 656/42?

Answer: LCM of Numerators as per given numbers 674/62, 973/64, 656/42 is

LCM of Numerators i.e. for 674,973,656 is 215103056

GCF of denominators i.e. for 62,64,42 is 2.

Thus, LCM of Fractions is 107551528.Finally, LCM of Fractions for 674/62, 973/64, 656/42 is 107551528.