Least Common Multiple of 53/90, 21/35, 21/13, 68/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/90, 21/35, 21/13, 68/969 quickly i.e. 75684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/90, 21/35, 21/13, 68/969 is 75684.

LCM(53/90, 21/35, 21/13, 68/969) = 75684

LCM of 53/90, 21/35, 21/13, 68/969

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 53/90,21/35,21/13,68/969

Given numbers are 53/90,21/35,21/13,68/969

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 53,21,21,68

Least Common Multiple of Numerators i.e. LCM of 53,21,21,68 is 75684.

GCF of Denominators means GCF of 90,35,13,969 as per the given fractions.

GCF of 90,35,13,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,21,21,68

LCM of Fractions 53/90,21/35,21/13,68/969 is 75684

3 53, 21, 21, 68
7 53, 7, 7, 68
53, 1, 1, 68

∴ So the LCM of the given numbers is 3 x 7 x 53 x 1 x 1 x 68 = 75684

Least Common Multiple of 53,21,21,68 with GCF Formula

Least Common Multiple of 53,21,21,68 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 53,21,21,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,21,21,68) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(53,21,21,68) x common factors =1 x 21 = 21

LCM(53,21,21,68) = ( 53 × 21 × 21 × 68 ) / 21

LCM(53,21,21,68) = 1589364 / 21

LCM(53,21,21,68) = 75684


Lets's calculate GCF of 90,35,13,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75684/1

Therefore the LCM of Fractions 53/90,21/35,21/13,68/969 is 75684

Greatest Common Factor of 90,35,13,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,35,13,969 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 35

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

1,5,7,35

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 90,35,13,969 . The biggest common factor number is the GCF number.
So the greatest common factor 90,35,13,969 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 53/90, 21/35, 21/13, 68/969

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 53/90, 21/35, 21/13, 68/969?

Answer: LCM of Numerators as per given numbers 53/90, 21/35, 21/13, 68/969 is

LCM of Numerators i.e. for 53,21,21,68 is 75684

GCF of denominators i.e. for 90,35,13,969 is 1.

Thus, LCM of Fractions is 75684.Finally, LCM of Fractions for 53/90, 21/35, 21/13, 68/969 is 75684.