Least Common Multiple of 989/21, 575/28, 157/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/21, 575/28, 157/39 quickly i.e. 3881825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/21, 575/28, 157/39 is 3881825.

LCM(989/21, 575/28, 157/39) = 3881825

LCM of 989/21, 575/28, 157/39

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 989/21,575/28,157/39

Given numbers are 989/21,575/28,157/39

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 989,575,157

Least Common Multiple of Numerators i.e. LCM of 989,575,157 is 3881825.

GCF of Denominators means GCF of 21,28,39 as per the given fractions.

GCF of 21,28,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,575,157

LCM of Fractions 989/21,575/28,157/39 is 3881825

23 989, 575, 157
43, 25, 157

∴ So the LCM of the given numbers is 23 x 43 x 25 x 157 = 3881825

Least Common Multiple of 989,575,157 with GCF Formula

Least Common Multiple of 989,575,157 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 989,575,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,575,157) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(989,575,157) x common factors =1 x 23 = 23

LCM(989,575,157) = ( 989 × 575 × 157 ) / 23

LCM(989,575,157) = 89281975 / 23

LCM(989,575,157) = 3881825


Lets's calculate GCF of 21,28,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3881825/1

Therefore the LCM of Fractions 989/21,575/28,157/39 is 3881825

Greatest Common Factor of 21,28,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,28,39 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 39

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

1,3,13,39

Greatest Common Factor

We found the factors 21,28,39 . The biggest common factor number is the GCF number.
So the greatest common factor 21,28,39 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 989/21, 575/28, 157/39

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 989/21, 575/28, 157/39?

Answer: LCM of Numerators as per given numbers 989/21, 575/28, 157/39 is

LCM of Numerators i.e. for 989,575,157 is 3881825

GCF of denominators i.e. for 21,28,39 is 1.

Thus, LCM of Fractions is 3881825.Finally, LCM of Fractions for 989/21, 575/28, 157/39 is 3881825.