Least Common Multiple of 556/53, 567/78, 556/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 556/53, 567/78, 556/331 quickly i.e. 315252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 556/53, 567/78, 556/331 is 315252.

LCM(556/53, 567/78, 556/331) = 315252

LCM of 556/53, 567/78, 556/331

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 556/53,567/78,556/331

Given numbers are 556/53,567/78,556/331

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 556,567,556

Least Common Multiple of Numerators i.e. LCM of 556,567,556 is 315252.

GCF of Denominators means GCF of 53,78,331 as per the given fractions.

GCF of 53,78,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 556,567,556

LCM of Fractions 556/53,567/78,556/331 is 315252

2 556, 567, 556
2 278, 567, 278
139 139, 567, 139
1, 567, 1

∴ So the LCM of the given numbers is 2 x 2 x 139 x 1 x 567 x 1 = 315252

Least Common Multiple of 556,567,556 with GCF Formula

Least Common Multiple of 556,567,556 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 556,567,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,567,556) = 1

common factors(in case of two or more numbers have common factors) = 556

GCF(556,567,556) x common factors =1 x 556 = 556

LCM(556,567,556) = ( 556 × 567 × 556 ) / 556

LCM(556,567,556) = 175280112 / 556

LCM(556,567,556) = 315252


Lets's calculate GCF of 53,78,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315252/1

Therefore the LCM of Fractions 556/53,567/78,556/331 is 315252

Greatest Common Factor of 53,78,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,78,331 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 53,78,331 . The biggest common factor number is the GCF number.
So the greatest common factor 53,78,331 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 556/53, 567/78, 556/331

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 556/53, 567/78, 556/331?

Answer: LCM of Numerators as per given numbers 556/53, 567/78, 556/331 is

LCM of Numerators i.e. for 556,567,556 is 315252

GCF of denominators i.e. for 53,78,331 is 1.

Thus, LCM of Fractions is 315252.Finally, LCM of Fractions for 556/53, 567/78, 556/331 is 315252.