Least Common Multiple of 77/371, 16/917, 865/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/371, 16/917, 865/764 quickly i.e. 1065680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/371, 16/917, 865/764 is 1065680.

LCM(77/371, 16/917, 865/764) = 1065680

LCM of 77/371, 16/917, 865/764

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 77/371,16/917,865/764

Given numbers are 77/371,16/917,865/764

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 77,16,865

Least Common Multiple of Numerators i.e. LCM of 77,16,865 is 1065680.

GCF of Denominators means GCF of 371,917,764 as per the given fractions.

GCF of 371,917,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,16,865

LCM of Fractions 77/371,16/917,865/764 is 1065680

Given numbers has no common factors except 1. So, there LCM is their product i.e 1065680

Least Common Multiple of 77,16,865 with GCF Formula

Least Common Multiple of 77,16,865 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 77,16,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,16,865) = 1

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

GCF(77,16,865) x common factors =1 x 1 = 1

LCM(77,16,865) = ( 77 × 16 × 865 ) / 1

LCM(77,16,865) = 1065680 / 1

LCM(77,16,865) = 1065680


Lets's calculate GCF of 371,917,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1065680/1

Therefore the LCM of Fractions 77/371,16/917,865/764 is 1065680

Greatest Common Factor of 371,917,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,917,764 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 371,917,764 . The biggest common factor number is the GCF number.
So the greatest common factor 371,917,764 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/371, 16/917, 865/764

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 77/371, 16/917, 865/764?

Answer: LCM of Numerators as per given numbers 77/371, 16/917, 865/764 is

LCM of Numerators i.e. for 77,16,865 is 1065680

GCF of denominators i.e. for 371,917,764 is 1.

Thus, LCM of Fractions is 1065680.Finally, LCM of Fractions for 77/371, 16/917, 865/764 is 1065680.