Least Common Multiple of 860/76, 417/87, 377/91

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 860/76, 417/87, 377/91 quickly i.e. 135199740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 860/76, 417/87, 377/91 is 135199740.

LCM(860/76, 417/87, 377/91) = 135199740

LCM of 860/76, 417/87, 377/91

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 860/76,417/87,377/91

Given numbers are 860/76,417/87,377/91

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 860,417,377

Least Common Multiple of Numerators i.e. LCM of 860,417,377 is 135199740.

GCF of Denominators means GCF of 76,87,91 as per the given fractions.

GCF of 76,87,91 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 860,417,377

LCM of Fractions 860/76,417/87,377/91 is 135199740

Given numbers has no common factors except 1. So, there LCM is their product i.e 135199740

Least Common Multiple of 860,417,377 with GCF Formula

Least Common Multiple of 860,417,377 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 860,417,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,417,377) = 1

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

GCF(860,417,377) x common factors =1 x 1 = 1

LCM(860,417,377) = ( 860 × 417 × 377 ) / 1

LCM(860,417,377) = 135199740 / 1

LCM(860,417,377) = 135199740


Lets's calculate GCF of 76,87,91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135199740/1

Therefore the LCM of Fractions 860/76,417/87,377/91 is 135199740

Greatest Common Factor of 76,87,91 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,87,91 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 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Greatest Common Factor

We found the factors 76,87,91 . The biggest common factor number is the GCF number.
So the greatest common factor 76,87,91 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 860/76, 417/87, 377/91

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 860/76, 417/87, 377/91?

Answer: LCM of Numerators as per given numbers 860/76, 417/87, 377/91 is

LCM of Numerators i.e. for 860,417,377 is 135199740

GCF of denominators i.e. for 76,87,91 is 1.

Thus, LCM of Fractions is 135199740.Finally, LCM of Fractions for 860/76, 417/87, 377/91 is 135199740.