Least Common Multiple of 18/55, 76/54, 57/10, 56/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/55, 76/54, 57/10, 56/430 quickly i.e. 9576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/55, 76/54, 57/10, 56/430 is 9576.

LCM(18/55, 76/54, 57/10, 56/430) = 9576

LCM of 18/55, 76/54, 57/10, 56/430

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 18/55,76/54,57/10,56/430

Given numbers are 18/55,76/54,57/10,56/430

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 18,76,57,56

Least Common Multiple of Numerators i.e. LCM of 18,76,57,56 is 9576.

GCF of Denominators means GCF of 55,54,10,430 as per the given fractions.

GCF of 55,54,10,430 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,76,57,56

LCM of Fractions 18/55,76/54,57/10,56/430 is 9576

2 18, 76, 57, 56
2 9, 38, 57, 28
3 9, 19, 57, 14
19 3, 19, 19, 14
3, 1, 1, 14

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 3 x 1 x 1 x 14 = 9576

Least Common Multiple of 18,76,57,56 with GCF Formula

Least Common Multiple of 18,76,57,56 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 18,76,57,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,76,57,56) = 1

common factors(in case of two or more numbers have common factors) = 456

GCF(18,76,57,56) x common factors =1 x 456 = 456

LCM(18,76,57,56) = ( 18 × 76 × 57 × 56 ) / 456

LCM(18,76,57,56) = 4366656 / 456

LCM(18,76,57,56) = 9576


Lets's calculate GCF of 55,54,10,430

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9576/1

Therefore the LCM of Fractions 18/55,76/54,57/10,56/430 is 9576

Greatest Common Factor of 55,54,10,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,54,10,430 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 55,54,10,430 . The biggest common factor number is the GCF number.
So the greatest common factor 55,54,10,430 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 18/55, 76/54, 57/10, 56/430

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 18/55, 76/54, 57/10, 56/430?

Answer: LCM of Numerators as per given numbers 18/55, 76/54, 57/10, 56/430 is

LCM of Numerators i.e. for 18,76,57,56 is 9576

GCF of denominators i.e. for 55,54,10,430 is 1.

Thus, LCM of Fractions is 9576.Finally, LCM of Fractions for 18/55, 76/54, 57/10, 56/430 is 9576.