Least Common Multiple of 36/35, 72/97, 92/48, 80/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/35, 72/97, 92/48, 80/544 quickly i.e. 16560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/35, 72/97, 92/48, 80/544 is 16560.

LCM(36/35, 72/97, 92/48, 80/544) = 16560

LCM of 36/35, 72/97, 92/48, 80/544

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 36/35,72/97,92/48,80/544

Given numbers are 36/35,72/97,92/48,80/544

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 36,72,92,80

Least Common Multiple of Numerators i.e. LCM of 36,72,92,80 is 16560.

GCF of Denominators means GCF of 35,97,48,544 as per the given fractions.

GCF of 35,97,48,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,72,92,80

LCM of Fractions 36/35,72/97,92/48,80/544 is 16560

2 36, 72, 92, 80
2 18, 36, 46, 40
2 9, 18, 23, 20
3 9, 9, 23, 10
3 3, 3, 23, 10
1, 1, 23, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 1 x 23 x 10 = 16560

Least Common Multiple of 36,72,92,80 with GCF Formula

Least Common Multiple of 36,72,92,80 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 36,72,92,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,72,92,80) = 4

common factors(in case of two or more numbers have common factors) = 288

GCF(36,72,92,80) x common factors =4 x 288 = 1152

LCM(36,72,92,80) = ( 36 × 72 × 92 × 80 ) / 1152

LCM(36,72,92,80) = 19077120 / 1152

LCM(36,72,92,80) = 16560


Lets's calculate GCF of 35,97,48,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16560/1

Therefore the LCM of Fractions 36/35,72/97,92/48,80/544 is 16560

Greatest Common Factor of 35,97,48,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,97,48,544 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 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 35,97,48,544 . The biggest common factor number is the GCF number.
So the greatest common factor 35,97,48,544 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 36/35, 72/97, 92/48, 80/544

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 36/35, 72/97, 92/48, 80/544?

Answer: LCM of Numerators as per given numbers 36/35, 72/97, 92/48, 80/544 is

LCM of Numerators i.e. for 36,72,92,80 is 16560

GCF of denominators i.e. for 35,97,48,544 is 1.

Thus, LCM of Fractions is 16560.Finally, LCM of Fractions for 36/35, 72/97, 92/48, 80/544 is 16560.