Least Common Multiple of 24/620, 7833/1264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/620, 7833/1264 quickly i.e. 15666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/620, 7833/1264 is 15666.

LCM(24/620, 7833/1264) = 15666

LCM of 24/620, 7833/1264

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 24/620,7833/1264

Given numbers are 24/620,7833/1264

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 24,7833

Least Common Multiple of Numerators i.e. LCM of 24,7833 is 62664.

GCF of Denominators means GCF of 620,1264 as per the given fractions.

GCF of 620,1264 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,7833

LCM of Fractions 24/620,7833/1264 is 15666

3 24, 7833
8, 2611

∴ So the LCM of the given numbers is 3 x 8 x 2611 = 62664

Least Common Multiple of 24,7833 with GCF Formula

Least Common Multiple of 24,7833 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 24,7833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,7833) = 3

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

GCF(24,7833) x common factors =3 x 1 = 3

LCM(24,7833) = ( 24 × 7833 ) / 3

LCM(24,7833) = 187992 / 3

LCM(24,7833) = 62664


Lets's calculate GCF of 620,1264

2 620, 1264
2 310, 632
155, 316

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62664/4

Therefore the LCM of Fractions 24/620,7833/1264 is 15666

Greatest Common Factor of 620,1264 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,1264 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 1264

List of positive integer factors of 1264 that divides 1264 without a remainder.

1,2,4,8,16,79,158,316,632,1264

Greatest Common Factor

We found the factors 620,1264 . The biggest common factor number is the GCF number.
So the greatest common factor 620,1264 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 24/620, 7833/1264

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 24/620, 7833/1264?

Answer: LCM of Numerators as per given numbers 24/620, 7833/1264 is

LCM of Numerators i.e. for 24,7833 is 62664

GCF of denominators i.e. for 620,1264 is 4.

Thus, LCM of Fractions is 15666.Finally, LCM of Fractions for 24/620, 7833/1264 is 15666.