Least Common Multiple of 20/35, 78/38, 13/70, 21/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/35, 78/38, 13/70, 21/989 quickly i.e. 5460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/35, 78/38, 13/70, 21/989 is 5460.

LCM(20/35, 78/38, 13/70, 21/989) = 5460

LCM of 20/35, 78/38, 13/70, 21/989

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 20/35,78/38,13/70,21/989

Given numbers are 20/35,78/38,13/70,21/989

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 20,78,13,21

Least Common Multiple of Numerators i.e. LCM of 20,78,13,21 is 5460.

GCF of Denominators means GCF of 35,38,70,989 as per the given fractions.

GCF of 35,38,70,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,78,13,21

LCM of Fractions 20/35,78/38,13/70,21/989 is 5460

2 20, 78, 13, 21
3 10, 39, 13, 21
13 10, 13, 13, 7
10, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 13 x 10 x 1 x 1 x 7 = 5460

Least Common Multiple of 20,78,13,21 with GCF Formula

Least Common Multiple of 20,78,13,21 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 20,78,13,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,78,13,21) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(20,78,13,21) x common factors =1 x 78 = 78

LCM(20,78,13,21) = ( 20 × 78 × 13 × 21 ) / 78

LCM(20,78,13,21) = 425880 / 78

LCM(20,78,13,21) = 5460


Lets's calculate GCF of 35,38,70,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5460/1

Therefore the LCM of Fractions 20/35,78/38,13/70,21/989 is 5460

Greatest Common Factor of 35,38,70,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,38,70,989 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 35,38,70,989 . The biggest common factor number is the GCF number.
So the greatest common factor 35,38,70,989 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 20/35, 78/38, 13/70, 21/989

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 20/35, 78/38, 13/70, 21/989?

Answer: LCM of Numerators as per given numbers 20/35, 78/38, 13/70, 21/989 is

LCM of Numerators i.e. for 20,78,13,21 is 5460

GCF of denominators i.e. for 35,38,70,989 is 1.

Thus, LCM of Fractions is 5460.Finally, LCM of Fractions for 20/35, 78/38, 13/70, 21/989 is 5460.