Least Common Multiple of 844/731, 5120/4697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 844/731, 5120/4697 quickly i.e. 1080320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 844/731, 5120/4697 is 1080320.

LCM(844/731, 5120/4697) = 1080320

LCM of 844/731, 5120/4697

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 844/731,5120/4697

Given numbers are 844/731,5120/4697

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 844,5120

Least Common Multiple of Numerators i.e. LCM of 844,5120 is 1080320.

GCF of Denominators means GCF of 731,4697 as per the given fractions.

GCF of 731,4697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 844,5120

LCM of Fractions 844/731,5120/4697 is 1080320

2 844, 5120
2 422, 2560
211, 1280

∴ So the LCM of the given numbers is 2 x 2 x 211 x 1280 = 1080320

Least Common Multiple of 844,5120 with GCF Formula

Least Common Multiple of 844,5120 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 844,5120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,5120) = 4

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

GCF(844,5120) x common factors =4 x 1 = 4

LCM(844,5120) = ( 844 × 5120 ) / 4

LCM(844,5120) = 4321280 / 4

LCM(844,5120) = 1080320


Lets's calculate GCF of 731,4697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1080320/1

Therefore the LCM of Fractions 844/731,5120/4697 is 1080320

Greatest Common Factor of 731,4697 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,4697 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 4697

List of positive integer factors of 4697 that divides 4697 without a remainder.

1,7,11,61,77,427,671,4697

Greatest Common Factor

We found the factors 731,4697 . The biggest common factor number is the GCF number.
So the greatest common factor 731,4697 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 844/731, 5120/4697

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 844/731, 5120/4697?

Answer: LCM of Numerators as per given numbers 844/731, 5120/4697 is

LCM of Numerators i.e. for 844,5120 is 1080320

GCF of denominators i.e. for 731,4697 is 1.

Thus, LCM of Fractions is 1080320.Finally, LCM of Fractions for 844/731, 5120/4697 is 1080320.