Least Common Multiple of 969/63, 604/57, 635/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/63, 604/57, 635/546 quickly i.e. 123883420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/63, 604/57, 635/546 is 123883420.

LCM(969/63, 604/57, 635/546) = 123883420

LCM of 969/63, 604/57, 635/546

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 969/63,604/57,635/546

Given numbers are 969/63,604/57,635/546

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 969,604,635

Least Common Multiple of Numerators i.e. LCM of 969,604,635 is 371650260.

GCF of Denominators means GCF of 63,57,546 as per the given fractions.

GCF of 63,57,546 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,604,635

LCM of Fractions 969/63,604/57,635/546 is 123883420

Given numbers has no common factors except 1. So, there LCM is their product i.e 371650260

Least Common Multiple of 969,604,635 with GCF Formula

Least Common Multiple of 969,604,635 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 969,604,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,604,635) = 1

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

GCF(969,604,635) x common factors =1 x 1 = 1

LCM(969,604,635) = ( 969 × 604 × 635 ) / 1

LCM(969,604,635) = 371650260 / 1

LCM(969,604,635) = 371650260


Lets's calculate GCF of 63,57,546

3 63, 57, 546
21, 19, 182

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371650260/3

Therefore the LCM of Fractions 969/63,604/57,635/546 is 123883420

Greatest Common Factor of 63,57,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,57,546 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 63,57,546 . The biggest common factor number is the GCF number.
So the greatest common factor 63,57,546 is 3.


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 969/63, 604/57, 635/546

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 969/63, 604/57, 635/546?

Answer: LCM of Numerators as per given numbers 969/63, 604/57, 635/546 is

LCM of Numerators i.e. for 969,604,635 is 371650260

GCF of denominators i.e. for 63,57,546 is 3.

Thus, LCM of Fractions is 123883420.Finally, LCM of Fractions for 969/63, 604/57, 635/546 is 123883420.