Least Common Multiple of 657/76, 561/13, 988/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 657/76, 561/13, 988/34 quickly i.e. 121384692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 657/76, 561/13, 988/34 is 121384692.

LCM(657/76, 561/13, 988/34) = 121384692

LCM of 657/76, 561/13, 988/34

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 657/76,561/13,988/34

Given numbers are 657/76,561/13,988/34

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 657,561,988

Least Common Multiple of Numerators i.e. LCM of 657,561,988 is 121384692.

GCF of Denominators means GCF of 76,13,34 as per the given fractions.

GCF of 76,13,34 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 657,561,988

LCM of Fractions 657/76,561/13,988/34 is 121384692

3 657, 561, 988
219, 187, 988

∴ So the LCM of the given numbers is 3 x 219 x 187 x 988 = 121384692

Least Common Multiple of 657,561,988 with GCF Formula

Least Common Multiple of 657,561,988 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 657,561,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,561,988) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(657,561,988) x common factors =1 x 3 = 3

LCM(657,561,988) = ( 657 × 561 × 988 ) / 3

LCM(657,561,988) = 364154076 / 3

LCM(657,561,988) = 121384692


Lets's calculate GCF of 76,13,34

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121384692/1

Therefore the LCM of Fractions 657/76,561/13,988/34 is 121384692

Greatest Common Factor of 76,13,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,13,34 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Greatest Common Factor

We found the factors 76,13,34 . The biggest common factor number is the GCF number.
So the greatest common factor 76,13,34 is 1.


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 657/76, 561/13, 988/34

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 657/76, 561/13, 988/34?

Answer: LCM of Numerators as per given numbers 657/76, 561/13, 988/34 is

LCM of Numerators i.e. for 657,561,988 is 121384692

GCF of denominators i.e. for 76,13,34 is 1.

Thus, LCM of Fractions is 121384692.Finally, LCM of Fractions for 657/76, 561/13, 988/34 is 121384692.