Least Common Multiple of 52/57, 174/88, 190/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/57, 174/88, 190/908 quickly i.e. 429780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/57, 174/88, 190/908 is 429780.

LCM(52/57, 174/88, 190/908) = 429780

LCM of 52/57, 174/88, 190/908

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 52/57,174/88,190/908

Given numbers are 52/57,174/88,190/908

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 52,174,190

Least Common Multiple of Numerators i.e. LCM of 52,174,190 is 429780.

GCF of Denominators means GCF of 57,88,908 as per the given fractions.

GCF of 57,88,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,174,190

LCM of Fractions 52/57,174/88,190/908 is 429780

2 52, 174, 190
26, 87, 95

∴ So the LCM of the given numbers is 2 x 26 x 87 x 95 = 429780

Least Common Multiple of 52,174,190 with GCF Formula

Least Common Multiple of 52,174,190 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 52,174,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,174,190) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(52,174,190) x common factors =2 x 2 = 4

LCM(52,174,190) = ( 52 × 174 × 190 ) / 4

LCM(52,174,190) = 1719120 / 4

LCM(52,174,190) = 429780


Lets's calculate GCF of 57,88,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429780/1

Therefore the LCM of Fractions 52/57,174/88,190/908 is 429780

Greatest Common Factor of 57,88,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,88,908 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 57,88,908 . The biggest common factor number is the GCF number.
So the greatest common factor 57,88,908 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/57, 174/88, 190/908

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 52/57, 174/88, 190/908?

Answer: LCM of Numerators as per given numbers 52/57, 174/88, 190/908 is

LCM of Numerators i.e. for 52,174,190 is 429780

GCF of denominators i.e. for 57,88,908 is 1.

Thus, LCM of Fractions is 429780.Finally, LCM of Fractions for 52/57, 174/88, 190/908 is 429780.