Least Common Multiple of 774/42, 524/6676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 774/42, 524/6676 quickly i.e. 101394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 774/42, 524/6676 is 101394.

LCM(774/42, 524/6676) = 101394

LCM of 774/42, 524/6676

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 774/42,524/6676

Given numbers are 774/42,524/6676

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 774,524

Least Common Multiple of Numerators i.e. LCM of 774,524 is 202788.

GCF of Denominators means GCF of 42,6676 as per the given fractions.

GCF of 42,6676 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 774,524

LCM of Fractions 774/42,524/6676 is 101394

2 774, 524
387, 262

∴ So the LCM of the given numbers is 2 x 387 x 262 = 202788

Least Common Multiple of 774,524 with GCF Formula

Least Common Multiple of 774,524 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 774,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,524) = 2

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

GCF(774,524) x common factors =2 x 1 = 2

LCM(774,524) = ( 774 × 524 ) / 2

LCM(774,524) = 405576 / 2

LCM(774,524) = 202788


Lets's calculate GCF of 42,6676

2 42, 6676
21, 3338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202788/2

Therefore the LCM of Fractions 774/42,524/6676 is 101394

Greatest Common Factor of 42,6676 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,6676 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 6676

List of positive integer factors of 6676 that divides 6676 without a remainder.

1,2,4,1669,3338,6676

Greatest Common Factor

We found the factors 42,6676 . The biggest common factor number is the GCF number.
So the greatest common factor 42,6676 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 774/42, 524/6676

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 774/42, 524/6676?

Answer: LCM of Numerators as per given numbers 774/42, 524/6676 is

LCM of Numerators i.e. for 774,524 is 202788

GCF of denominators i.e. for 42,6676 is 2.

Thus, LCM of Fractions is 101394.Finally, LCM of Fractions for 774/42, 524/6676 is 101394.