Least Common Multiple of 97/249, 567/687, 495/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/249, 567/687, 495/837 quickly i.e. 1008315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/249, 567/687, 495/837 is 1008315.

LCM(97/249, 567/687, 495/837) = 1008315

LCM of 97/249, 567/687, 495/837

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 97/249,567/687,495/837

Given numbers are 97/249,567/687,495/837

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 97,567,495

Least Common Multiple of Numerators i.e. LCM of 97,567,495 is 3024945.

GCF of Denominators means GCF of 249,687,837 as per the given fractions.

GCF of 249,687,837 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,567,495

LCM of Fractions 97/249,567/687,495/837 is 1008315

3 97, 567, 495
3 97, 189, 165
97, 63, 55

∴ So the LCM of the given numbers is 3 x 3 x 97 x 63 x 55 = 3024945

Least Common Multiple of 97,567,495 with GCF Formula

Least Common Multiple of 97,567,495 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 97,567,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,567,495) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(97,567,495) x common factors =1 x 9 = 9

LCM(97,567,495) = ( 97 × 567 × 495 ) / 9

LCM(97,567,495) = 27224505 / 9

LCM(97,567,495) = 3024945


Lets's calculate GCF of 249,687,837

3 249, 687, 837
83, 229, 279

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3024945/3

Therefore the LCM of Fractions 97/249,567/687,495/837 is 1008315

Greatest Common Factor of 249,687,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,687,837 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 249,687,837 . The biggest common factor number is the GCF number.
So the greatest common factor 249,687,837 is 3.


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 97/249, 567/687, 495/837

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 97/249, 567/687, 495/837?

Answer: LCM of Numerators as per given numbers 97/249, 567/687, 495/837 is

LCM of Numerators i.e. for 97,567,495 is 3024945

GCF of denominators i.e. for 249,687,837 is 3.

Thus, LCM of Fractions is 1008315.Finally, LCM of Fractions for 97/249, 567/687, 495/837 is 1008315.