Least Common Multiple of 97/71, 75/46, 36/88, 72/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/71, 75/46, 36/88, 72/337 quickly i.e. 174600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/71, 75/46, 36/88, 72/337 is 174600.

LCM(97/71, 75/46, 36/88, 72/337) = 174600

LCM of 97/71, 75/46, 36/88, 72/337

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 97/71,75/46,36/88,72/337

Given numbers are 97/71,75/46,36/88,72/337

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 97,75,36,72

Least Common Multiple of Numerators i.e. LCM of 97,75,36,72 is 174600.

GCF of Denominators means GCF of 71,46,88,337 as per the given fractions.

GCF of 71,46,88,337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,75,36,72

LCM of Fractions 97/71,75/46,36/88,72/337 is 174600

2 97, 75, 36, 72
2 97, 75, 18, 36
3 97, 75, 9, 18
3 97, 25, 3, 6
97, 25, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 97 x 25 x 1 x 2 = 174600

Least Common Multiple of 97,75,36,72 with GCF Formula

Least Common Multiple of 97,75,36,72 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 97,75,36,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,75,36,72) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(97,75,36,72) x common factors =1 x 108 = 108

LCM(97,75,36,72) = ( 97 × 75 × 36 × 72 ) / 108

LCM(97,75,36,72) = 18856800 / 108

LCM(97,75,36,72) = 174600


Lets's calculate GCF of 71,46,88,337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174600/1

Therefore the LCM of Fractions 97/71,75/46,36/88,72/337 is 174600

Greatest Common Factor of 71,46,88,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,46,88,337 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 71,46,88,337 . The biggest common factor number is the GCF number.
So the greatest common factor 71,46,88,337 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 97/71, 75/46, 36/88, 72/337

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 97/71, 75/46, 36/88, 72/337?

Answer: LCM of Numerators as per given numbers 97/71, 75/46, 36/88, 72/337 is

LCM of Numerators i.e. for 97,75,36,72 is 174600

GCF of denominators i.e. for 71,46,88,337 is 1.

Thus, LCM of Fractions is 174600.Finally, LCM of Fractions for 97/71, 75/46, 36/88, 72/337 is 174600.