Least Common Multiple of 56/272, 28/447, 155/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/272, 28/447, 155/565 quickly i.e. 8680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/272, 28/447, 155/565 is 8680.

LCM(56/272, 28/447, 155/565) = 8680

LCM of 56/272, 28/447, 155/565

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 56/272,28/447,155/565

Given numbers are 56/272,28/447,155/565

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 56,28,155

Least Common Multiple of Numerators i.e. LCM of 56,28,155 is 8680.

GCF of Denominators means GCF of 272,447,565 as per the given fractions.

GCF of 272,447,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,28,155

LCM of Fractions 56/272,28/447,155/565 is 8680

2 56, 28, 155
2 28, 14, 155
7 7, 14, 155
1, 2, 155

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 2 x 155 = 8680

Least Common Multiple of 56,28,155 with GCF Formula

Least Common Multiple of 56,28,155 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 56,28,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,28,155) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(56,28,155) x common factors =1 x 28 = 28

LCM(56,28,155) = ( 56 × 28 × 155 ) / 28

LCM(56,28,155) = 243040 / 28

LCM(56,28,155) = 8680


Lets's calculate GCF of 272,447,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8680/1

Therefore the LCM of Fractions 56/272,28/447,155/565 is 8680

Greatest Common Factor of 272,447,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,447,565 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 272,447,565 . The biggest common factor number is the GCF number.
So the greatest common factor 272,447,565 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 56/272, 28/447, 155/565

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 56/272, 28/447, 155/565?

Answer: LCM of Numerators as per given numbers 56/272, 28/447, 155/565 is

LCM of Numerators i.e. for 56,28,155 is 8680

GCF of denominators i.e. for 272,447,565 is 1.

Thus, LCM of Fractions is 8680.Finally, LCM of Fractions for 56/272, 28/447, 155/565 is 8680.