Least Common Multiple of 7/36, 99/275, 97/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7/36, 99/275, 97/335 quickly i.e. 67221 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/36, 99/275, 97/335 is 67221.

LCM(7/36, 99/275, 97/335) = 67221

LCM of 7/36, 99/275, 97/335

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 7/36,99/275,97/335

Given numbers are 7/36,99/275,97/335

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 7,99,97

Least Common Multiple of Numerators i.e. LCM of 7,99,97 is 67221.

GCF of Denominators means GCF of 36,275,335 as per the given fractions.

GCF of 36,275,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,99,97

LCM of Fractions 7/36,99/275,97/335 is 67221

Given numbers has no common factors except 1. So, there LCM is their product i.e 67221

Least Common Multiple of 7,99,97 with GCF Formula

Least Common Multiple of 7,99,97 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 7,99,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,99,97) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7,99,97) x common factors =1 x 1 = 1

LCM(7,99,97) = ( 7 × 99 × 97 ) / 1

LCM(7,99,97) = 67221 / 1

LCM(7,99,97) = 67221


Lets's calculate GCF of 36,275,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67221/1

Therefore the LCM of Fractions 7/36,99/275,97/335 is 67221

Greatest Common Factor of 36,275,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,275,335 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 36,275,335 . The biggest common factor number is the GCF number.
So the greatest common factor 36,275,335 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7/36, 99/275, 97/335

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 7/36, 99/275, 97/335?

Answer: LCM of Numerators as per given numbers 7/36, 99/275, 97/335 is

LCM of Numerators i.e. for 7,99,97 is 67221

GCF of denominators i.e. for 36,275,335 is 1.

Thus, LCM of Fractions is 67221.Finally, LCM of Fractions for 7/36, 99/275, 97/335 is 67221.