Least Common Multiple of 78/42, 38/21, 90/58, 20/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/42, 38/21, 90/58, 20/455 quickly i.e. 44460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/42, 38/21, 90/58, 20/455 is 44460.

LCM(78/42, 38/21, 90/58, 20/455) = 44460

LCM of 78/42, 38/21, 90/58, 20/455

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 78/42,38/21,90/58,20/455

Given numbers are 78/42,38/21,90/58,20/455

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 78,38,90,20

Least Common Multiple of Numerators i.e. LCM of 78,38,90,20 is 44460.

GCF of Denominators means GCF of 42,21,58,455 as per the given fractions.

GCF of 42,21,58,455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,38,90,20

LCM of Fractions 78/42,38/21,90/58,20/455 is 44460

2 78, 38, 90, 20
3 39, 19, 45, 10
5 13, 19, 15, 10
13, 19, 3, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 19 x 3 x 2 = 44460

Least Common Multiple of 78,38,90,20 with GCF Formula

Least Common Multiple of 78,38,90,20 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 78,38,90,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,38,90,20) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(78,38,90,20) x common factors =2 x 60 = 120

LCM(78,38,90,20) = ( 78 × 38 × 90 × 20 ) / 120

LCM(78,38,90,20) = 5335200 / 120

LCM(78,38,90,20) = 44460


Lets's calculate GCF of 42,21,58,455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44460/1

Therefore the LCM of Fractions 78/42,38/21,90/58,20/455 is 44460

Greatest Common Factor of 42,21,58,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,21,58,455 By Matching Biggest Common Factor Method

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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 42,21,58,455 . The biggest common factor number is the GCF number.
So the greatest common factor 42,21,58,455 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 78/42, 38/21, 90/58, 20/455

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 78/42, 38/21, 90/58, 20/455?

Answer: LCM of Numerators as per given numbers 78/42, 38/21, 90/58, 20/455 is

LCM of Numerators i.e. for 78,38,90,20 is 44460

GCF of denominators i.e. for 42,21,58,455 is 1.

Thus, LCM of Fractions is 44460.Finally, LCM of Fractions for 78/42, 38/21, 90/58, 20/455 is 44460.