Least Common Multiple of 97/307, 565/336, 949/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/307, 565/336, 949/213 quickly i.e. 52009945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/307, 565/336, 949/213 is 52009945.

LCM(97/307, 565/336, 949/213) = 52009945

LCM of 97/307, 565/336, 949/213

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 97/307,565/336,949/213

Given numbers are 97/307,565/336,949/213

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 97,565,949

Least Common Multiple of Numerators i.e. LCM of 97,565,949 is 52009945.

GCF of Denominators means GCF of 307,336,213 as per the given fractions.

GCF of 307,336,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,565,949

LCM of Fractions 97/307,565/336,949/213 is 52009945

Given numbers has no common factors except 1. So, there LCM is their product i.e 52009945

Least Common Multiple of 97,565,949 with GCF Formula

Least Common Multiple of 97,565,949 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 97,565,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,565,949) = 1

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

GCF(97,565,949) x common factors =1 x 1 = 1

LCM(97,565,949) = ( 97 × 565 × 949 ) / 1

LCM(97,565,949) = 52009945 / 1

LCM(97,565,949) = 52009945


Lets's calculate GCF of 307,336,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52009945/1

Therefore the LCM of Fractions 97/307,565/336,949/213 is 52009945

Greatest Common Factor of 307,336,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,336,213 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 307,336,213 . The biggest common factor number is the GCF number.
So the greatest common factor 307,336,213 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 97/307, 565/336, 949/213

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 97/307, 565/336, 949/213?

Answer: LCM of Numerators as per given numbers 97/307, 565/336, 949/213 is

LCM of Numerators i.e. for 97,565,949 is 52009945

GCF of denominators i.e. for 307,336,213 is 1.

Thus, LCM of Fractions is 52009945.Finally, LCM of Fractions for 97/307, 565/336, 949/213 is 52009945.