Least Common Multiple of 295/68, 950/29, 918/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 295/68, 950/29, 918/936 quickly i.e. 25726950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 295/68, 950/29, 918/936 is 25726950.

LCM(295/68, 950/29, 918/936) = 25726950

LCM of 295/68, 950/29, 918/936

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 295/68,950/29,918/936

Given numbers are 295/68,950/29,918/936

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 295,950,918

Least Common Multiple of Numerators i.e. LCM of 295,950,918 is 25726950.

GCF of Denominators means GCF of 68,29,936 as per the given fractions.

GCF of 68,29,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 295,950,918

LCM of Fractions 295/68,950/29,918/936 is 25726950

2 295, 950, 918
5 295, 475, 459
59, 95, 459

∴ So the LCM of the given numbers is 2 x 5 x 59 x 95 x 459 = 25726950

Least Common Multiple of 295,950,918 with GCF Formula

Least Common Multiple of 295,950,918 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 295,950,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,950,918) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(295,950,918) x common factors =1 x 10 = 10

LCM(295,950,918) = ( 295 × 950 × 918 ) / 10

LCM(295,950,918) = 257269500 / 10

LCM(295,950,918) = 25726950


Lets's calculate GCF of 68,29,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25726950/1

Therefore the LCM of Fractions 295/68,950/29,918/936 is 25726950

Greatest Common Factor of 68,29,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,29,936 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 68,29,936 . The biggest common factor number is the GCF number.
So the greatest common factor 68,29,936 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 295/68, 950/29, 918/936

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 295/68, 950/29, 918/936?

Answer: LCM of Numerators as per given numbers 295/68, 950/29, 918/936 is

LCM of Numerators i.e. for 295,950,918 is 25726950

GCF of denominators i.e. for 68,29,936 is 1.

Thus, LCM of Fractions is 25726950.Finally, LCM of Fractions for 295/68, 950/29, 918/936 is 25726950.