Least Common Multiple of 959/40, 152/88, 675/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 959/40, 152/88, 675/832 quickly i.e. 12299175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 959/40, 152/88, 675/832 is 12299175.

LCM(959/40, 152/88, 675/832) = 12299175

LCM of 959/40, 152/88, 675/832

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 959/40,152/88,675/832

Given numbers are 959/40,152/88,675/832

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 959,152,675

Least Common Multiple of Numerators i.e. LCM of 959,152,675 is 98393400.

GCF of Denominators means GCF of 40,88,832 as per the given fractions.

GCF of 40,88,832 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 959,152,675

LCM of Fractions 959/40,152/88,675/832 is 12299175

Given numbers has no common factors except 1. So, there LCM is their product i.e 98393400

Least Common Multiple of 959,152,675 with GCF Formula

Least Common Multiple of 959,152,675 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 959,152,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,152,675) = 1

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

GCF(959,152,675) x common factors =1 x 1 = 1

LCM(959,152,675) = ( 959 × 152 × 675 ) / 1

LCM(959,152,675) = 98393400 / 1

LCM(959,152,675) = 98393400


Lets's calculate GCF of 40,88,832

2 40, 88, 832
2 20, 44, 416
2 10, 22, 208
5, 11, 104

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98393400/8

Therefore the LCM of Fractions 959/40,152/88,675/832 is 12299175

Greatest Common Factor of 40,88,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,88,832 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 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 40,88,832 . The biggest common factor number is the GCF number.
So the greatest common factor 40,88,832 is 8.


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 959/40, 152/88, 675/832

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 959/40, 152/88, 675/832?

Answer: LCM of Numerators as per given numbers 959/40, 152/88, 675/832 is

LCM of Numerators i.e. for 959,152,675 is 98393400

GCF of denominators i.e. for 40,88,832 is 8.

Thus, LCM of Fractions is 12299175.Finally, LCM of Fractions for 959/40, 152/88, 675/832 is 12299175.