Least Common Multiple of 97/862, 269/122, 720/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/862, 269/122, 720/312 quickly i.e. 9393480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/862, 269/122, 720/312 is 9393480.

LCM(97/862, 269/122, 720/312) = 9393480

LCM of 97/862, 269/122, 720/312

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 97/862,269/122,720/312

Given numbers are 97/862,269/122,720/312

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 97,269,720

Least Common Multiple of Numerators i.e. LCM of 97,269,720 is 18786960.

GCF of Denominators means GCF of 862,122,312 as per the given fractions.

GCF of 862,122,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,269,720

LCM of Fractions 97/862,269/122,720/312 is 9393480

Given numbers has no common factors except 1. So, there LCM is their product i.e 18786960

Least Common Multiple of 97,269,720 with GCF Formula

Least Common Multiple of 97,269,720 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 97,269,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,269,720) = 1

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

GCF(97,269,720) x common factors =1 x 1 = 1

LCM(97,269,720) = ( 97 × 269 × 720 ) / 1

LCM(97,269,720) = 18786960 / 1

LCM(97,269,720) = 18786960


Lets's calculate GCF of 862,122,312

2 862, 122, 312
431, 61, 156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18786960/2

Therefore the LCM of Fractions 97/862,269/122,720/312 is 9393480

Greatest Common Factor of 862,122,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,122,312 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 862,122,312 . The biggest common factor number is the GCF number.
So the greatest common factor 862,122,312 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 97/862, 269/122, 720/312

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 97/862, 269/122, 720/312?

Answer: LCM of Numerators as per given numbers 97/862, 269/122, 720/312 is

LCM of Numerators i.e. for 97,269,720 is 18786960

GCF of denominators i.e. for 862,122,312 is 2.

Thus, LCM of Fractions is 9393480.Finally, LCM of Fractions for 97/862, 269/122, 720/312 is 9393480.