Least Common Multiple of 91/64, 75/91, 91/79, 15/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/64, 75/91, 91/79, 15/420 quickly i.e. 6825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/64, 75/91, 91/79, 15/420 is 6825.

LCM(91/64, 75/91, 91/79, 15/420) = 6825

LCM of 91/64, 75/91, 91/79, 15/420

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 91/64,75/91,91/79,15/420

Given numbers are 91/64,75/91,91/79,15/420

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 91,75,91,15

Least Common Multiple of Numerators i.e. LCM of 91,75,91,15 is 6825.

GCF of Denominators means GCF of 64,91,79,420 as per the given fractions.

GCF of 64,91,79,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,75,91,15

LCM of Fractions 91/64,75/91,91/79,15/420 is 6825

3 91, 75, 91, 15
5 91, 25, 91, 5
7 91, 1, 91, 5
13 13, 1, 13, 5
1, 1, 1, 5

∴ So the LCM of the given numbers is 3 x 5 x 7 x 13 x 1 x 1 x 1 x 5 = 6825

Least Common Multiple of 91,75,91,15 with GCF Formula

Least Common Multiple of 91,75,91,15 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 91,75,91,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,75,91,15) = 1

common factors(in case of two or more numbers have common factors) = 1365

GCF(91,75,91,15) x common factors =1 x 1365 = 1365

LCM(91,75,91,15) = ( 91 × 75 × 91 × 15 ) / 1365

LCM(91,75,91,15) = 9316125 / 1365

LCM(91,75,91,15) = 6825


Lets's calculate GCF of 64,91,79,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6825/1

Therefore the LCM of Fractions 91/64,75/91,91/79,15/420 is 6825

Greatest Common Factor of 64,91,79,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,91,79,420 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 91

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

1,7,13,91

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 64,91,79,420 . The biggest common factor number is the GCF number.
So the greatest common factor 64,91,79,420 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 91/64, 75/91, 91/79, 15/420

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 91/64, 75/91, 91/79, 15/420?

Answer: LCM of Numerators as per given numbers 91/64, 75/91, 91/79, 15/420 is

LCM of Numerators i.e. for 91,75,91,15 is 6825

GCF of denominators i.e. for 64,91,79,420 is 1.

Thus, LCM of Fractions is 6825.Finally, LCM of Fractions for 91/64, 75/91, 91/79, 15/420 is 6825.