Least Common Multiple of 57/142, 145/30, 110/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/142, 145/30, 110/334 quickly i.e. 90915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/142, 145/30, 110/334 is 90915.

LCM(57/142, 145/30, 110/334) = 90915

LCM of 57/142, 145/30, 110/334

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 57/142,145/30,110/334

Given numbers are 57/142,145/30,110/334

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 57,145,110

Least Common Multiple of Numerators i.e. LCM of 57,145,110 is 181830.

GCF of Denominators means GCF of 142,30,334 as per the given fractions.

GCF of 142,30,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,145,110

LCM of Fractions 57/142,145/30,110/334 is 90915

5 57, 145, 110
57, 29, 22

∴ So the LCM of the given numbers is 5 x 57 x 29 x 22 = 181830

Least Common Multiple of 57,145,110 with GCF Formula

Least Common Multiple of 57,145,110 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 57,145,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,145,110) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(57,145,110) x common factors =1 x 5 = 5

LCM(57,145,110) = ( 57 × 145 × 110 ) / 5

LCM(57,145,110) = 909150 / 5

LCM(57,145,110) = 181830


Lets's calculate GCF of 142,30,334

2 142, 30, 334
71, 15, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181830/2

Therefore the LCM of Fractions 57/142,145/30,110/334 is 90915

Greatest Common Factor of 142,30,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,30,334 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

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 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 142,30,334 . The biggest common factor number is the GCF number.
So the greatest common factor 142,30,334 is 2.


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 57/142, 145/30, 110/334

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 57/142, 145/30, 110/334?

Answer: LCM of Numerators as per given numbers 57/142, 145/30, 110/334 is

LCM of Numerators i.e. for 57,145,110 is 181830

GCF of denominators i.e. for 142,30,334 is 2.

Thus, LCM of Fractions is 90915.Finally, LCM of Fractions for 57/142, 145/30, 110/334 is 90915.