Least Common Multiple of 91/40, 50/42, 75/80, 85/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/40, 50/42, 75/80, 85/514 quickly i.e. 116025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/40, 50/42, 75/80, 85/514 is 116025.

LCM(91/40, 50/42, 75/80, 85/514) = 116025

LCM of 91/40, 50/42, 75/80, 85/514

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 91/40,50/42,75/80,85/514

Given numbers are 91/40,50/42,75/80,85/514

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 91,50,75,85

Least Common Multiple of Numerators i.e. LCM of 91,50,75,85 is 232050.

GCF of Denominators means GCF of 40,42,80,514 as per the given fractions.

GCF of 40,42,80,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,50,75,85

LCM of Fractions 91/40,50/42,75/80,85/514 is 116025

5 91, 50, 75, 85
5 91, 10, 15, 17
91, 2, 3, 17

∴ So the LCM of the given numbers is 5 x 5 x 91 x 2 x 3 x 17 = 232050

Least Common Multiple of 91,50,75,85 with GCF Formula

Least Common Multiple of 91,50,75,85 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 91,50,75,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,50,75,85) = 1

common factors(in case of two or more numbers have common factors) = 125

GCF(91,50,75,85) x common factors =1 x 125 = 125

LCM(91,50,75,85) = ( 91 × 50 × 75 × 85 ) / 125

LCM(91,50,75,85) = 29006250 / 125

LCM(91,50,75,85) = 232050


Lets's calculate GCF of 40,42,80,514

2 40, 42, 80, 514
20, 21, 40, 257

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232050/2

Therefore the LCM of Fractions 91/40,50/42,75/80,85/514 is 116025

Greatest Common Factor of 40,42,80,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,42,80,514 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 40,42,80,514 . The biggest common factor number is the GCF number.
So the greatest common factor 40,42,80,514 is 2.


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 91/40, 50/42, 75/80, 85/514

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 91/40, 50/42, 75/80, 85/514?

Answer: LCM of Numerators as per given numbers 91/40, 50/42, 75/80, 85/514 is

LCM of Numerators i.e. for 91,50,75,85 is 232050

GCF of denominators i.e. for 40,42,80,514 is 2.

Thus, LCM of Fractions is 116025.Finally, LCM of Fractions for 91/40, 50/42, 75/80, 85/514 is 116025.