Least Common Multiple of 77/209, 572/307, 469/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/209, 572/307, 469/215 quickly i.e. 268268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/209, 572/307, 469/215 is 268268.

LCM(77/209, 572/307, 469/215) = 268268

LCM of 77/209, 572/307, 469/215

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 77/209,572/307,469/215

Given numbers are 77/209,572/307,469/215

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 77,572,469

Least Common Multiple of Numerators i.e. LCM of 77,572,469 is 268268.

GCF of Denominators means GCF of 209,307,215 as per the given fractions.

GCF of 209,307,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,572,469

LCM of Fractions 77/209,572/307,469/215 is 268268

7 77, 572, 469
11 11, 572, 67
1, 52, 67

∴ So the LCM of the given numbers is 7 x 11 x 1 x 52 x 67 = 268268

Least Common Multiple of 77,572,469 with GCF Formula

Least Common Multiple of 77,572,469 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 77,572,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,572,469) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(77,572,469) x common factors =1 x 77 = 77

LCM(77,572,469) = ( 77 × 572 × 469 ) / 77

LCM(77,572,469) = 20656636 / 77

LCM(77,572,469) = 268268


Lets's calculate GCF of 209,307,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268268/1

Therefore the LCM of Fractions 77/209,572/307,469/215 is 268268

Greatest Common Factor of 209,307,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,307,215 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 307

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

1,307

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 209,307,215 . The biggest common factor number is the GCF number.
So the greatest common factor 209,307,215 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 77/209, 572/307, 469/215

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 77/209, 572/307, 469/215?

Answer: LCM of Numerators as per given numbers 77/209, 572/307, 469/215 is

LCM of Numerators i.e. for 77,572,469 is 268268

GCF of denominators i.e. for 209,307,215 is 1.

Thus, LCM of Fractions is 268268.Finally, LCM of Fractions for 77/209, 572/307, 469/215 is 268268.