Least Common Multiple of 97/168, 65/972, 288/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/168, 65/972, 288/926 quickly i.e. 907920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/168, 65/972, 288/926 is 907920.

LCM(97/168, 65/972, 288/926) = 907920

LCM of 97/168, 65/972, 288/926

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 97/168,65/972,288/926

Given numbers are 97/168,65/972,288/926

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 97,65,288

Least Common Multiple of Numerators i.e. LCM of 97,65,288 is 1815840.

GCF of Denominators means GCF of 168,972,926 as per the given fractions.

GCF of 168,972,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,65,288

LCM of Fractions 97/168,65/972,288/926 is 907920

Given numbers has no common factors except 1. So, there LCM is their product i.e 1815840

Least Common Multiple of 97,65,288 with GCF Formula

Least Common Multiple of 97,65,288 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 97,65,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,65,288) = 1

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

GCF(97,65,288) x common factors =1 x 1 = 1

LCM(97,65,288) = ( 97 × 65 × 288 ) / 1

LCM(97,65,288) = 1815840 / 1

LCM(97,65,288) = 1815840


Lets's calculate GCF of 168,972,926

2 168, 972, 926
84, 486, 463

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1815840/2

Therefore the LCM of Fractions 97/168,65/972,288/926 is 907920

Greatest Common Factor of 168,972,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,972,926 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

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

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 168,972,926 . The biggest common factor number is the GCF number.
So the greatest common factor 168,972,926 is 2.


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 97/168, 65/972, 288/926

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 97/168, 65/972, 288/926?

Answer: LCM of Numerators as per given numbers 97/168, 65/972, 288/926 is

LCM of Numerators i.e. for 97,65,288 is 1815840

GCF of denominators i.e. for 168,972,926 is 2.

Thus, LCM of Fractions is 907920.Finally, LCM of Fractions for 97/168, 65/972, 288/926 is 907920.