Least Common Multiple of 77/97, 19/52, 87/84, 46/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/97, 19/52, 87/84, 46/976 quickly i.e. 5854926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/97, 19/52, 87/84, 46/976 is 5854926.

LCM(77/97, 19/52, 87/84, 46/976) = 5854926

LCM of 77/97, 19/52, 87/84, 46/976

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 77/97,19/52,87/84,46/976

Given numbers are 77/97,19/52,87/84,46/976

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 77,19,87,46

Least Common Multiple of Numerators i.e. LCM of 77,19,87,46 is 5854926.

GCF of Denominators means GCF of 97,52,84,976 as per the given fractions.

GCF of 97,52,84,976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,19,87,46

LCM of Fractions 77/97,19/52,87/84,46/976 is 5854926

Given numbers has no common factors except 1. So, there LCM is their product i.e 5854926

Least Common Multiple of 77,19,87,46 with GCF Formula

Least Common Multiple of 77,19,87,46 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 77,19,87,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,19,87,46) = 1

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

GCF(77,19,87,46) x common factors =1 x 1 = 1

LCM(77,19,87,46) = ( 77 × 19 × 87 × 46 ) / 1

LCM(77,19,87,46) = 5854926 / 1

LCM(77,19,87,46) = 5854926


Lets's calculate GCF of 97,52,84,976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5854926/1

Therefore the LCM of Fractions 77/97,19/52,87/84,46/976 is 5854926

Greatest Common Factor of 97,52,84,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,52,84,976 By Matching Biggest Common Factor Method

Factors of 97

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

1,97

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 97,52,84,976 . The biggest common factor number is the GCF number.
So the greatest common factor 97,52,84,976 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 77/97, 19/52, 87/84, 46/976

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 77/97, 19/52, 87/84, 46/976?

Answer: LCM of Numerators as per given numbers 77/97, 19/52, 87/84, 46/976 is

LCM of Numerators i.e. for 77,19,87,46 is 5854926

GCF of denominators i.e. for 97,52,84,976 is 1.

Thus, LCM of Fractions is 5854926.Finally, LCM of Fractions for 77/97, 19/52, 87/84, 46/976 is 5854926.