Least Common Multiple of 58/58, 77/84, 10/20, 38/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/58, 77/84, 10/20, 38/78 quickly i.e. 212135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/58, 77/84, 10/20, 38/78 is 212135.

LCM(58/58, 77/84, 10/20, 38/78) = 212135

LCM of 58/58, 77/84, 10/20, 38/78

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 58/58,77/84,10/20,38/78

Given numbers are 58/58,77/84,10/20,38/78

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 58,77,10,38

Least Common Multiple of Numerators i.e. LCM of 58,77,10,38 is 424270.

GCF of Denominators means GCF of 58,84,20,78 as per the given fractions.

GCF of 58,84,20,78 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,77,10,38

LCM of Fractions 58/58,77/84,10/20,38/78 is 212135

2 58, 77, 10, 38
29, 77, 5, 19

∴ So the LCM of the given numbers is 2 x 29 x 77 x 5 x 19 = 424270

Least Common Multiple of 58,77,10,38 with GCF Formula

Least Common Multiple of 58,77,10,38 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 58,77,10,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,77,10,38) = 1

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

GCF(58,77,10,38) x common factors =1 x 4 = 4

LCM(58,77,10,38) = ( 58 × 77 × 10 × 38 ) / 4

LCM(58,77,10,38) = 1697080 / 4

LCM(58,77,10,38) = 424270


Lets's calculate GCF of 58,84,20,78

2 58, 84, 20, 78
29, 42, 10, 39

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424270/2

Therefore the LCM of Fractions 58/58,77/84,10/20,38/78 is 212135

Greatest Common Factor of 58,84,20,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,84,20,78 By Matching Biggest Common Factor Method

Factors of 58

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

1,2,29,58

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 58,84,20,78 . The biggest common factor number is the GCF number.
So the greatest common factor 58,84,20,78 is 2.


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 58/58, 77/84, 10/20, 38/78

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 58/58, 77/84, 10/20, 38/78?

Answer: LCM of Numerators as per given numbers 58/58, 77/84, 10/20, 38/78 is

LCM of Numerators i.e. for 58,77,10,38 is 424270

GCF of denominators i.e. for 58,84,20,78 is 2.

Thus, LCM of Fractions is 212135.Finally, LCM of Fractions for 58/58, 77/84, 10/20, 38/78 is 212135.