Least Common Multiple of 79/34, 87/97, 61/99, 74/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/34, 87/97, 61/99, 74/508 quickly i.e. 31024722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/34, 87/97, 61/99, 74/508 is 31024722.

LCM(79/34, 87/97, 61/99, 74/508) = 31024722

LCM of 79/34, 87/97, 61/99, 74/508

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 79/34,87/97,61/99,74/508

Given numbers are 79/34,87/97,61/99,74/508

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 79,87,61,74

Least Common Multiple of Numerators i.e. LCM of 79,87,61,74 is 31024722.

GCF of Denominators means GCF of 34,97,99,508 as per the given fractions.

GCF of 34,97,99,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,87,61,74

LCM of Fractions 79/34,87/97,61/99,74/508 is 31024722

Given numbers has no common factors except 1. So, there LCM is their product i.e 31024722

Least Common Multiple of 79,87,61,74 with GCF Formula

Least Common Multiple of 79,87,61,74 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 79,87,61,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,87,61,74) = 1

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

GCF(79,87,61,74) x common factors =1 x 1 = 1

LCM(79,87,61,74) = ( 79 × 87 × 61 × 74 ) / 1

LCM(79,87,61,74) = 31024722 / 1

LCM(79,87,61,74) = 31024722


Lets's calculate GCF of 34,97,99,508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31024722/1

Therefore the LCM of Fractions 79/34,87/97,61/99,74/508 is 31024722

Greatest Common Factor of 34,97,99,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,97,99,508 By Matching Biggest Common Factor Method

Factors of 34

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

1,2,17,34

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 34,97,99,508 . The biggest common factor number is the GCF number.
So the greatest common factor 34,97,99,508 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/34, 87/97, 61/99, 74/508

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 79/34, 87/97, 61/99, 74/508?

Answer: LCM of Numerators as per given numbers 79/34, 87/97, 61/99, 74/508 is

LCM of Numerators i.e. for 79,87,61,74 is 31024722

GCF of denominators i.e. for 34,97,99,508 is 1.

Thus, LCM of Fractions is 31024722.Finally, LCM of Fractions for 79/34, 87/97, 61/99, 74/508 is 31024722.