Least Common Multiple of 56/172, 5288/3320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/172, 5288/3320 quickly i.e. 9254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/172, 5288/3320 is 9254.

LCM(56/172, 5288/3320) = 9254

LCM of 56/172, 5288/3320

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 56/172,5288/3320

Given numbers are 56/172,5288/3320

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 56,5288

Least Common Multiple of Numerators i.e. LCM of 56,5288 is 37016.

GCF of Denominators means GCF of 172,3320 as per the given fractions.

GCF of 172,3320 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,5288

LCM of Fractions 56/172,5288/3320 is 9254

2 56, 5288
2 28, 2644
2 14, 1322
7, 661

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 661 = 37016

Least Common Multiple of 56,5288 with GCF Formula

Least Common Multiple of 56,5288 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 56,5288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,5288) = 8

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

GCF(56,5288) x common factors =8 x 1 = 8

LCM(56,5288) = ( 56 × 5288 ) / 8

LCM(56,5288) = 296128 / 8

LCM(56,5288) = 37016


Lets's calculate GCF of 172,3320

2 172, 3320
2 86, 1660
43, 830

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37016/4

Therefore the LCM of Fractions 56/172,5288/3320 is 9254

Greatest Common Factor of 172,3320 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,3320 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 3320

List of positive integer factors of 3320 that divides 3320 without a remainder.

1,2,4,5,8,10,20,40,83,166,332,415,664,830,1660,3320

Greatest Common Factor

We found the factors 172,3320 . The biggest common factor number is the GCF number.
So the greatest common factor 172,3320 is 4.


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 56/172, 5288/3320

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 56/172, 5288/3320?

Answer: LCM of Numerators as per given numbers 56/172, 5288/3320 is

LCM of Numerators i.e. for 56,5288 is 37016

GCF of denominators i.e. for 172,3320 is 4.

Thus, LCM of Fractions is 9254.Finally, LCM of Fractions for 56/172, 5288/3320 is 9254.