Least Common Multiple of 797/24, 251/11, 720/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 797/24, 251/11, 720/308 quickly i.e. 144033840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 797/24, 251/11, 720/308 is 144033840.

LCM(797/24, 251/11, 720/308) = 144033840

LCM of 797/24, 251/11, 720/308

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 797/24,251/11,720/308

Given numbers are 797/24,251/11,720/308

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 797,251,720

Least Common Multiple of Numerators i.e. LCM of 797,251,720 is 144033840.

GCF of Denominators means GCF of 24,11,308 as per the given fractions.

GCF of 24,11,308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 797,251,720

LCM of Fractions 797/24,251/11,720/308 is 144033840

Given numbers has no common factors except 1. So, there LCM is their product i.e 144033840

Least Common Multiple of 797,251,720 with GCF Formula

Least Common Multiple of 797,251,720 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 797,251,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,251,720) = 1

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

GCF(797,251,720) x common factors =1 x 1 = 1

LCM(797,251,720) = ( 797 × 251 × 720 ) / 1

LCM(797,251,720) = 144033840 / 1

LCM(797,251,720) = 144033840


Lets's calculate GCF of 24,11,308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144033840/1

Therefore the LCM of Fractions 797/24,251/11,720/308 is 144033840

Greatest Common Factor of 24,11,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,11,308 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 24,11,308 . The biggest common factor number is the GCF number.
So the greatest common factor 24,11,308 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 797/24, 251/11, 720/308

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 797/24, 251/11, 720/308?

Answer: LCM of Numerators as per given numbers 797/24, 251/11, 720/308 is

LCM of Numerators i.e. for 797,251,720 is 144033840

GCF of denominators i.e. for 24,11,308 is 1.

Thus, LCM of Fractions is 144033840.Finally, LCM of Fractions for 797/24, 251/11, 720/308 is 144033840.