Least Common Multiple of 26/342, 660/786, 916/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/342, 660/786, 916/477 quickly i.e. 654940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/342, 660/786, 916/477 is 654940.

LCM(26/342, 660/786, 916/477) = 654940

LCM of 26/342, 660/786, 916/477

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 26/342,660/786,916/477

Given numbers are 26/342,660/786,916/477

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 26,660,916

Least Common Multiple of Numerators i.e. LCM of 26,660,916 is 1964820.

GCF of Denominators means GCF of 342,786,477 as per the given fractions.

GCF of 342,786,477 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,660,916

LCM of Fractions 26/342,660/786,916/477 is 654940

2 26, 660, 916
2 13, 330, 458
13, 165, 229

∴ So the LCM of the given numbers is 2 x 2 x 13 x 165 x 229 = 1964820

Least Common Multiple of 26,660,916 with GCF Formula

Least Common Multiple of 26,660,916 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 26,660,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,660,916) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(26,660,916) x common factors =2 x 4 = 8

LCM(26,660,916) = ( 26 × 660 × 916 ) / 8

LCM(26,660,916) = 15718560 / 8

LCM(26,660,916) = 1964820


Lets's calculate GCF of 342,786,477

3 342, 786, 477
114, 262, 159

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1964820/3

Therefore the LCM of Fractions 26/342,660/786,916/477 is 654940

Greatest Common Factor of 342,786,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,786,477 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 342,786,477 . The biggest common factor number is the GCF number.
So the greatest common factor 342,786,477 is 3.


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 26/342, 660/786, 916/477

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 26/342, 660/786, 916/477?

Answer: LCM of Numerators as per given numbers 26/342, 660/786, 916/477 is

LCM of Numerators i.e. for 26,660,916 is 1964820

GCF of denominators i.e. for 342,786,477 is 3.

Thus, LCM of Fractions is 654940.Finally, LCM of Fractions for 26/342, 660/786, 916/477 is 654940.