Least Common Multiple of 39/90, 852/92, 177/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/90, 852/92, 177/299 quickly i.e. 653484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/90, 852/92, 177/299 is 653484.

LCM(39/90, 852/92, 177/299) = 653484

LCM of 39/90, 852/92, 177/299

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 39/90,852/92,177/299

Given numbers are 39/90,852/92,177/299

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 39,852,177

Least Common Multiple of Numerators i.e. LCM of 39,852,177 is 653484.

GCF of Denominators means GCF of 90,92,299 as per the given fractions.

GCF of 90,92,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,852,177

LCM of Fractions 39/90,852/92,177/299 is 653484

3 39, 852, 177
13, 284, 59

∴ So the LCM of the given numbers is 3 x 13 x 284 x 59 = 653484

Least Common Multiple of 39,852,177 with GCF Formula

Least Common Multiple of 39,852,177 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 39,852,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,852,177) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(39,852,177) x common factors =3 x 3 = 9

LCM(39,852,177) = ( 39 × 852 × 177 ) / 9

LCM(39,852,177) = 5881356 / 9

LCM(39,852,177) = 653484


Lets's calculate GCF of 90,92,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 653484/1

Therefore the LCM of Fractions 39/90,852/92,177/299 is 653484

Greatest Common Factor of 90,92,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,92,299 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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 90,92,299 . The biggest common factor number is the GCF number.
So the greatest common factor 90,92,299 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 39/90, 852/92, 177/299

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 39/90, 852/92, 177/299?

Answer: LCM of Numerators as per given numbers 39/90, 852/92, 177/299 is

LCM of Numerators i.e. for 39,852,177 is 653484

GCF of denominators i.e. for 90,92,299 is 1.

Thus, LCM of Fractions is 653484.Finally, LCM of Fractions for 39/90, 852/92, 177/299 is 653484.