Least Common Multiple of 57/98, 654/75, 190/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/98, 654/75, 190/344 quickly i.e. 62130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/98, 654/75, 190/344 is 62130.

LCM(57/98, 654/75, 190/344) = 62130

LCM of 57/98, 654/75, 190/344

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 57/98,654/75,190/344

Given numbers are 57/98,654/75,190/344

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 57,654,190

Least Common Multiple of Numerators i.e. LCM of 57,654,190 is 62130.

GCF of Denominators means GCF of 98,75,344 as per the given fractions.

GCF of 98,75,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,654,190

LCM of Fractions 57/98,654/75,190/344 is 62130

2 57, 654, 190
3 57, 327, 95
19 19, 109, 95
1, 109, 5

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 109 x 5 = 62130

Least Common Multiple of 57,654,190 with GCF Formula

Least Common Multiple of 57,654,190 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 57,654,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,654,190) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(57,654,190) x common factors =1 x 114 = 114

LCM(57,654,190) = ( 57 × 654 × 190 ) / 114

LCM(57,654,190) = 7082820 / 114

LCM(57,654,190) = 62130


Lets's calculate GCF of 98,75,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62130/1

Therefore the LCM of Fractions 57/98,654/75,190/344 is 62130

Greatest Common Factor of 98,75,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,75,344 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 98,75,344 . The biggest common factor number is the GCF number.
So the greatest common factor 98,75,344 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 57/98, 654/75, 190/344

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 57/98, 654/75, 190/344?

Answer: LCM of Numerators as per given numbers 57/98, 654/75, 190/344 is

LCM of Numerators i.e. for 57,654,190 is 62130

GCF of denominators i.e. for 98,75,344 is 1.

Thus, LCM of Fractions is 62130.Finally, LCM of Fractions for 57/98, 654/75, 190/344 is 62130.