Least Common Multiple of 91/150, 70/958, 256/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/150, 70/958, 256/658 quickly i.e. 58240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/150, 70/958, 256/658 is 58240.

LCM(91/150, 70/958, 256/658) = 58240

LCM of 91/150, 70/958, 256/658

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 91/150,70/958,256/658

Given numbers are 91/150,70/958,256/658

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 91,70,256

Least Common Multiple of Numerators i.e. LCM of 91,70,256 is 116480.

GCF of Denominators means GCF of 150,958,658 as per the given fractions.

GCF of 150,958,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,70,256

LCM of Fractions 91/150,70/958,256/658 is 58240

2 91, 70, 256
7 91, 35, 128
13, 5, 128

∴ So the LCM of the given numbers is 2 x 7 x 13 x 5 x 128 = 116480

Least Common Multiple of 91,70,256 with GCF Formula

Least Common Multiple of 91,70,256 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 91,70,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,70,256) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(91,70,256) x common factors =1 x 14 = 14

LCM(91,70,256) = ( 91 × 70 × 256 ) / 14

LCM(91,70,256) = 1630720 / 14

LCM(91,70,256) = 116480


Lets's calculate GCF of 150,958,658

2 150, 958, 658
75, 479, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116480/2

Therefore the LCM of Fractions 91/150,70/958,256/658 is 58240

Greatest Common Factor of 150,958,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,958,658 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 150,958,658 . The biggest common factor number is the GCF number.
So the greatest common factor 150,958,658 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 91/150, 70/958, 256/658

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 91/150, 70/958, 256/658?

Answer: LCM of Numerators as per given numbers 91/150, 70/958, 256/658 is

LCM of Numerators i.e. for 91,70,256 is 116480

GCF of denominators i.e. for 150,958,658 is 2.

Thus, LCM of Fractions is 58240.Finally, LCM of Fractions for 91/150, 70/958, 256/658 is 58240.