Least Common Multiple of 392/90, 804/42, 187/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 392/90, 804/42, 187/57 quickly i.e. 4911368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/90, 804/42, 187/57 is 4911368.

LCM(392/90, 804/42, 187/57) = 4911368

LCM of 392/90, 804/42, 187/57

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 392/90,804/42,187/57

Given numbers are 392/90,804/42,187/57

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 392,804,187

Least Common Multiple of Numerators i.e. LCM of 392,804,187 is 14734104.

GCF of Denominators means GCF of 90,42,57 as per the given fractions.

GCF of 90,42,57 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,804,187

LCM of Fractions 392/90,804/42,187/57 is 4911368

2 392, 804, 187
2 196, 402, 187
98, 201, 187

∴ So the LCM of the given numbers is 2 x 2 x 98 x 201 x 187 = 14734104

Least Common Multiple of 392,804,187 with GCF Formula

Least Common Multiple of 392,804,187 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 392,804,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,804,187) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(392,804,187) x common factors =1 x 4 = 4

LCM(392,804,187) = ( 392 × 804 × 187 ) / 4

LCM(392,804,187) = 58936416 / 4

LCM(392,804,187) = 14734104


Lets's calculate GCF of 90,42,57

3 90, 42, 57
30, 14, 19

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14734104/3

Therefore the LCM of Fractions 392/90,804/42,187/57 is 4911368

Greatest Common Factor of 90,42,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,42,57 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 57

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

1,3,19,57

Greatest Common Factor

We found the factors 90,42,57 . The biggest common factor number is the GCF number.
So the greatest common factor 90,42,57 is 3.


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 392/90, 804/42, 187/57

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 392/90, 804/42, 187/57?

Answer: LCM of Numerators as per given numbers 392/90, 804/42, 187/57 is

LCM of Numerators i.e. for 392,804,187 is 14734104

GCF of denominators i.e. for 90,42,57 is 3.

Thus, LCM of Fractions is 4911368.Finally, LCM of Fractions for 392/90, 804/42, 187/57 is 4911368.