Least Common Multiple of 97/33, 80/24, 36/63, 75/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/33, 80/24, 36/63, 75/854 quickly i.e. 349200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/33, 80/24, 36/63, 75/854 is 349200.

LCM(97/33, 80/24, 36/63, 75/854) = 349200

LCM of 97/33, 80/24, 36/63, 75/854

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 97/33,80/24,36/63,75/854

Given numbers are 97/33,80/24,36/63,75/854

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 97,80,36,75

Least Common Multiple of Numerators i.e. LCM of 97,80,36,75 is 349200.

GCF of Denominators means GCF of 33,24,63,854 as per the given fractions.

GCF of 33,24,63,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,80,36,75

LCM of Fractions 97/33,80/24,36/63,75/854 is 349200

2 97, 80, 36, 75
2 97, 40, 18, 75
3 97, 20, 9, 75
5 97, 20, 3, 25
97, 4, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 97 x 4 x 3 x 5 = 349200

Least Common Multiple of 97,80,36,75 with GCF Formula

Least Common Multiple of 97,80,36,75 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 97,80,36,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,80,36,75) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(97,80,36,75) x common factors =1 x 60 = 60

LCM(97,80,36,75) = ( 97 × 80 × 36 × 75 ) / 60

LCM(97,80,36,75) = 20952000 / 60

LCM(97,80,36,75) = 349200


Lets's calculate GCF of 33,24,63,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 349200/1

Therefore the LCM of Fractions 97/33,80/24,36/63,75/854 is 349200

Greatest Common Factor of 33,24,63,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,24,63,854 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 33,24,63,854 . The biggest common factor number is the GCF number.
So the greatest common factor 33,24,63,854 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 97/33, 80/24, 36/63, 75/854

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 97/33, 80/24, 36/63, 75/854?

Answer: LCM of Numerators as per given numbers 97/33, 80/24, 36/63, 75/854 is

LCM of Numerators i.e. for 97,80,36,75 is 349200

GCF of denominators i.e. for 33,24,63,854 is 1.

Thus, LCM of Fractions is 349200.Finally, LCM of Fractions for 97/33, 80/24, 36/63, 75/854 is 349200.