Least Common Multiple of 556/72, 316/2752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 556/72, 316/2752 quickly i.e. 43924/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 556/72, 316/2752 is 43924/8.

LCM(556/72, 316/2752) = 43924/8

LCM of 556/72, 316/2752

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 556/72,316/2752

Given numbers are 556/72,316/2752

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 556,316

Least Common Multiple of Numerators i.e. LCM of 556,316 is 43924.

GCF of Denominators means GCF of 72,2752 as per the given fractions.

GCF of 72,2752 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 556,316

LCM of Fractions 556/72,316/2752 is 43924/8

2 556, 316
2 278, 158
139, 79

∴ So the LCM of the given numbers is 2 x 2 x 139 x 79 = 43924

Least Common Multiple of 556,316 with GCF Formula

Least Common Multiple of 556,316 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 556,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,316) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(556,316) x common factors =4 x 1 = 4

LCM(556,316) = ( 556 × 316 ) / 4

LCM(556,316) = 175696 / 4

LCM(556,316) = 43924


Lets's calculate GCF of 72,2752

2 72, 2752
2 36, 1376
2 18, 688
9, 344

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43924/8

Therefore the LCM of Fractions 556/72,316/2752 is 43924/8

Greatest Common Factor of 72,2752 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,2752 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 2752

List of positive integer factors of 2752 that divides 2752 without a remainder.

1,2,4,8,16,32,43,64,86,172,344,688,1376,2752

Greatest Common Factor

We found the factors 72,2752 . The biggest common factor number is the GCF number.
So the greatest common factor 72,2752 is 8.


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 556/72, 316/2752

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 556/72, 316/2752?

Answer: LCM of Numerators as per given numbers 556/72, 316/2752 is

LCM of Numerators i.e. for 556,316 is 43924

GCF of denominators i.e. for 72,2752 is 8.

Thus, LCM of Fractions is 43924/8.Finally, LCM of Fractions for 556/72, 316/2752 is 43924/8.