Least Common Multiple of 92/39, 54/42, 30/71, 52/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/39, 54/42, 30/71, 52/420 quickly i.e. 161460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/39, 54/42, 30/71, 52/420 is 161460.

LCM(92/39, 54/42, 30/71, 52/420) = 161460

LCM of 92/39, 54/42, 30/71, 52/420

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 92/39,54/42,30/71,52/420

Given numbers are 92/39,54/42,30/71,52/420

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 92,54,30,52

Least Common Multiple of Numerators i.e. LCM of 92,54,30,52 is 161460.

GCF of Denominators means GCF of 39,42,71,420 as per the given fractions.

GCF of 39,42,71,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,54,30,52

LCM of Fractions 92/39,54/42,30/71,52/420 is 161460

2 92, 54, 30, 52
2 46, 27, 15, 26
3 23, 27, 15, 13
23, 9, 5, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 9 x 5 x 13 = 161460

Least Common Multiple of 92,54,30,52 with GCF Formula

Least Common Multiple of 92,54,30,52 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 92,54,30,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,54,30,52) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(92,54,30,52) x common factors =2 x 24 = 48

LCM(92,54,30,52) = ( 92 × 54 × 30 × 52 ) / 48

LCM(92,54,30,52) = 7750080 / 48

LCM(92,54,30,52) = 161460


Lets's calculate GCF of 39,42,71,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161460/1

Therefore the LCM of Fractions 92/39,54/42,30/71,52/420 is 161460

Greatest Common Factor of 39,42,71,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,42,71,420 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

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 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 39,42,71,420 . The biggest common factor number is the GCF number.
So the greatest common factor 39,42,71,420 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 92/39, 54/42, 30/71, 52/420

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 92/39, 54/42, 30/71, 52/420?

Answer: LCM of Numerators as per given numbers 92/39, 54/42, 30/71, 52/420 is

LCM of Numerators i.e. for 92,54,30,52 is 161460

GCF of denominators i.e. for 39,42,71,420 is 1.

Thus, LCM of Fractions is 161460.Finally, LCM of Fractions for 92/39, 54/42, 30/71, 52/420 is 161460.