Least Common Multiple of 26/400, 672/265, 217/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/400, 672/265, 217/305 quickly i.e. 270816/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/400, 672/265, 217/305 is 270816/5.

LCM(26/400, 672/265, 217/305) = 270816/5

LCM of 26/400, 672/265, 217/305

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 26/400,672/265,217/305

Given numbers are 26/400,672/265,217/305

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 26,672,217

Least Common Multiple of Numerators i.e. LCM of 26,672,217 is 270816.

GCF of Denominators means GCF of 400,265,305 as per the given fractions.

GCF of 400,265,305 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,672,217

LCM of Fractions 26/400,672/265,217/305 is 270816/5

2 26, 672, 217
7 13, 336, 217
13, 48, 31

∴ So the LCM of the given numbers is 2 x 7 x 13 x 48 x 31 = 270816

Least Common Multiple of 26,672,217 with GCF Formula

Least Common Multiple of 26,672,217 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 26,672,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,672,217) = 1

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

GCF(26,672,217) x common factors =1 x 14 = 14

LCM(26,672,217) = ( 26 × 672 × 217 ) / 14

LCM(26,672,217) = 3791424 / 14

LCM(26,672,217) = 270816


Lets's calculate GCF of 400,265,305

5 400, 265, 305
80, 53, 61

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270816/5

Therefore the LCM of Fractions 26/400,672/265,217/305 is 270816/5

Greatest Common Factor of 400,265,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,265,305 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 400,265,305 . The biggest common factor number is the GCF number.
So the greatest common factor 400,265,305 is 5.


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 26/400, 672/265, 217/305

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 26/400, 672/265, 217/305?

Answer: LCM of Numerators as per given numbers 26/400, 672/265, 217/305 is

LCM of Numerators i.e. for 26,672,217 is 270816

GCF of denominators i.e. for 400,265,305 is 5.

Thus, LCM of Fractions is 270816/5.Finally, LCM of Fractions for 26/400, 672/265, 217/305 is 270816/5.