Least Common Multiple of 642/524, 3495/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 642/524, 3495/966 quickly i.e. 373965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 642/524, 3495/966 is 373965.

LCM(642/524, 3495/966) = 373965

LCM of 642/524, 3495/966

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 642/524,3495/966

Given numbers are 642/524,3495/966

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 642,3495

Least Common Multiple of Numerators i.e. LCM of 642,3495 is 747930.

GCF of Denominators means GCF of 524,966 as per the given fractions.

GCF of 524,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 642,3495

LCM of Fractions 642/524,3495/966 is 373965

3 642, 3495
214, 1165

∴ So the LCM of the given numbers is 3 x 214 x 1165 = 747930

Least Common Multiple of 642,3495 with GCF Formula

Least Common Multiple of 642,3495 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 642,3495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,3495) = 3

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

GCF(642,3495) x common factors =3 x 1 = 3

LCM(642,3495) = ( 642 × 3495 ) / 3

LCM(642,3495) = 2243790 / 3

LCM(642,3495) = 747930


Lets's calculate GCF of 524,966

2 524, 966
262, 483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 747930/2

Therefore the LCM of Fractions 642/524,3495/966 is 373965

Greatest Common Factor of 524,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,966 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 524,966 . The biggest common factor number is the GCF number.
So the greatest common factor 524,966 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 642/524, 3495/966

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 642/524, 3495/966?

Answer: LCM of Numerators as per given numbers 642/524, 3495/966 is

LCM of Numerators i.e. for 642,3495 is 747930

GCF of denominators i.e. for 524,966 is 2.

Thus, LCM of Fractions is 373965.Finally, LCM of Fractions for 642/524, 3495/966 is 373965.