Least Common Multiple of 97/228, 21/909, 575/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/228, 21/909, 575/967 quickly i.e. 1171275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/228, 21/909, 575/967 is 1171275.

LCM(97/228, 21/909, 575/967) = 1171275

LCM of 97/228, 21/909, 575/967

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 97/228,21/909,575/967

Given numbers are 97/228,21/909,575/967

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 97,21,575

Least Common Multiple of Numerators i.e. LCM of 97,21,575 is 1171275.

GCF of Denominators means GCF of 228,909,967 as per the given fractions.

GCF of 228,909,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,21,575

LCM of Fractions 97/228,21/909,575/967 is 1171275

Given numbers has no common factors except 1. So, there LCM is their product i.e 1171275

Least Common Multiple of 97,21,575 with GCF Formula

Least Common Multiple of 97,21,575 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 97,21,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,21,575) = 1

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

GCF(97,21,575) x common factors =1 x 1 = 1

LCM(97,21,575) = ( 97 × 21 × 575 ) / 1

LCM(97,21,575) = 1171275 / 1

LCM(97,21,575) = 1171275


Lets's calculate GCF of 228,909,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1171275/1

Therefore the LCM of Fractions 97/228,21/909,575/967 is 1171275

Greatest Common Factor of 228,909,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,909,967 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 228,909,967 . The biggest common factor number is the GCF number.
So the greatest common factor 228,909,967 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 97/228, 21/909, 575/967

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 97/228, 21/909, 575/967?

Answer: LCM of Numerators as per given numbers 97/228, 21/909, 575/967 is

LCM of Numerators i.e. for 97,21,575 is 1171275

GCF of denominators i.e. for 228,909,967 is 1.

Thus, LCM of Fractions is 1171275.Finally, LCM of Fractions for 97/228, 21/909, 575/967 is 1171275.