Least Common Multiple of 56/120, 111/30, 109/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/120, 111/30, 109/553 quickly i.e. 677544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/120, 111/30, 109/553 is 677544.

LCM(56/120, 111/30, 109/553) = 677544

LCM of 56/120, 111/30, 109/553

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 56/120,111/30,109/553

Given numbers are 56/120,111/30,109/553

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 56,111,109

Least Common Multiple of Numerators i.e. LCM of 56,111,109 is 677544.

GCF of Denominators means GCF of 120,30,553 as per the given fractions.

GCF of 120,30,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,111,109

LCM of Fractions 56/120,111/30,109/553 is 677544

Given numbers has no common factors except 1. So, there LCM is their product i.e 677544

Least Common Multiple of 56,111,109 with GCF Formula

Least Common Multiple of 56,111,109 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 56,111,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,111,109) = 1

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

GCF(56,111,109) x common factors =1 x 1 = 1

LCM(56,111,109) = ( 56 × 111 × 109 ) / 1

LCM(56,111,109) = 677544 / 1

LCM(56,111,109) = 677544


Lets's calculate GCF of 120,30,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 677544/1

Therefore the LCM of Fractions 56/120,111/30,109/553 is 677544

Greatest Common Factor of 120,30,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,30,553 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 120,30,553 . The biggest common factor number is the GCF number.
So the greatest common factor 120,30,553 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 56/120, 111/30, 109/553

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 56/120, 111/30, 109/553?

Answer: LCM of Numerators as per given numbers 56/120, 111/30, 109/553 is

LCM of Numerators i.e. for 56,111,109 is 677544

GCF of denominators i.e. for 120,30,553 is 1.

Thus, LCM of Fractions is 677544.Finally, LCM of Fractions for 56/120, 111/30, 109/553 is 677544.