Least Common Multiple of 61/988, 34/996, 762/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/988, 34/996, 762/872 quickly i.e. 790194/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/988, 34/996, 762/872 is 790194/4.

LCM(61/988, 34/996, 762/872) = 790194/4

LCM of 61/988, 34/996, 762/872

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 61/988,34/996,762/872

Given numbers are 61/988,34/996,762/872

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 61,34,762

Least Common Multiple of Numerators i.e. LCM of 61,34,762 is 790194.

GCF of Denominators means GCF of 988,996,872 as per the given fractions.

GCF of 988,996,872 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,34,762

LCM of Fractions 61/988,34/996,762/872 is 790194/4

2 61, 34, 762
61, 17, 381

∴ So the LCM of the given numbers is 2 x 61 x 17 x 381 = 790194

Least Common Multiple of 61,34,762 with GCF Formula

Least Common Multiple of 61,34,762 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 61,34,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,34,762) = 1

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

GCF(61,34,762) x common factors =1 x 2 = 2

LCM(61,34,762) = ( 61 × 34 × 762 ) / 2

LCM(61,34,762) = 1580388 / 2

LCM(61,34,762) = 790194


Lets's calculate GCF of 988,996,872

2 988, 996, 872
2 494, 498, 436
247, 249, 218

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 790194/4

Therefore the LCM of Fractions 61/988,34/996,762/872 is 790194/4

Greatest Common Factor of 988,996,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,996,872 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 988,996,872 . The biggest common factor number is the GCF number.
So the greatest common factor 988,996,872 is 4.


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 61/988, 34/996, 762/872

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 61/988, 34/996, 762/872?

Answer: LCM of Numerators as per given numbers 61/988, 34/996, 762/872 is

LCM of Numerators i.e. for 61,34,762 is 790194

GCF of denominators i.e. for 988,996,872 is 4.

Thus, LCM of Fractions is 790194/4.Finally, LCM of Fractions for 61/988, 34/996, 762/872 is 790194/4.