Least Common Multiple of 958/290, 164/159, 278/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 958/290, 164/159, 278/866 quickly i.e. 10919284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 958/290, 164/159, 278/866 is 10919284.

LCM(958/290, 164/159, 278/866) = 10919284

LCM of 958/290, 164/159, 278/866

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 958/290,164/159,278/866

Given numbers are 958/290,164/159,278/866

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 958,164,278

Least Common Multiple of Numerators i.e. LCM of 958,164,278 is 10919284.

GCF of Denominators means GCF of 290,159,866 as per the given fractions.

GCF of 290,159,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 958,164,278

LCM of Fractions 958/290,164/159,278/866 is 10919284

2 958, 164, 278
479, 82, 139

∴ So the LCM of the given numbers is 2 x 479 x 82 x 139 = 10919284

Least Common Multiple of 958,164,278 with GCF Formula

Least Common Multiple of 958,164,278 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 958,164,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,164,278) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(958,164,278) x common factors =2 x 2 = 4

LCM(958,164,278) = ( 958 × 164 × 278 ) / 4

LCM(958,164,278) = 43677136 / 4

LCM(958,164,278) = 10919284


Lets's calculate GCF of 290,159,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10919284/1

Therefore the LCM of Fractions 958/290,164/159,278/866 is 10919284

Greatest Common Factor of 290,159,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,159,866 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 290,159,866 . The biggest common factor number is the GCF number.
So the greatest common factor 290,159,866 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 958/290, 164/159, 278/866

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 958/290, 164/159, 278/866?

Answer: LCM of Numerators as per given numbers 958/290, 164/159, 278/866 is

LCM of Numerators i.e. for 958,164,278 is 10919284

GCF of denominators i.e. for 290,159,866 is 1.

Thus, LCM of Fractions is 10919284.Finally, LCM of Fractions for 958/290, 164/159, 278/866 is 10919284.