Least Common Multiple of 278/13, 652/48, 520/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/13, 652/48, 520/905 quickly i.e. 11781640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/13, 652/48, 520/905 is 11781640.

LCM(278/13, 652/48, 520/905) = 11781640

LCM of 278/13, 652/48, 520/905

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 278/13,652/48,520/905

Given numbers are 278/13,652/48,520/905

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 278,652,520

Least Common Multiple of Numerators i.e. LCM of 278,652,520 is 11781640.

GCF of Denominators means GCF of 13,48,905 as per the given fractions.

GCF of 13,48,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,652,520

LCM of Fractions 278/13,652/48,520/905 is 11781640

2 278, 652, 520
2 139, 326, 260
139, 163, 130

∴ So the LCM of the given numbers is 2 x 2 x 139 x 163 x 130 = 11781640

Least Common Multiple of 278,652,520 with GCF Formula

Least Common Multiple of 278,652,520 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 278,652,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,652,520) = 2

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

GCF(278,652,520) x common factors =2 x 4 = 8

LCM(278,652,520) = ( 278 × 652 × 520 ) / 8

LCM(278,652,520) = 94253120 / 8

LCM(278,652,520) = 11781640


Lets's calculate GCF of 13,48,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11781640/1

Therefore the LCM of Fractions 278/13,652/48,520/905 is 11781640

Greatest Common Factor of 13,48,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,48,905 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 13,48,905 . The biggest common factor number is the GCF number.
So the greatest common factor 13,48,905 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 278/13, 652/48, 520/905

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 278/13, 652/48, 520/905?

Answer: LCM of Numerators as per given numbers 278/13, 652/48, 520/905 is

LCM of Numerators i.e. for 278,652,520 is 11781640

GCF of denominators i.e. for 13,48,905 is 1.

Thus, LCM of Fractions is 11781640.Finally, LCM of Fractions for 278/13, 652/48, 520/905 is 11781640.