Least Common Multiple of 71/797, 448/220, 763/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 71/797, 448/220, 763/891 quickly i.e. 3467072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/797, 448/220, 763/891 is 3467072.

LCM(71/797, 448/220, 763/891) = 3467072

LCM of 71/797, 448/220, 763/891

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 71/797,448/220,763/891

Given numbers are 71/797,448/220,763/891

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 71,448,763

Least Common Multiple of Numerators i.e. LCM of 71,448,763 is 3467072.

GCF of Denominators means GCF of 797,220,891 as per the given fractions.

GCF of 797,220,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,448,763

LCM of Fractions 71/797,448/220,763/891 is 3467072

7 71, 448, 763
71, 64, 109

∴ So the LCM of the given numbers is 7 x 71 x 64 x 109 = 3467072

Least Common Multiple of 71,448,763 with GCF Formula

Least Common Multiple of 71,448,763 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 71,448,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,448,763) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(71,448,763) x common factors =1 x 7 = 7

LCM(71,448,763) = ( 71 × 448 × 763 ) / 7

LCM(71,448,763) = 24269504 / 7

LCM(71,448,763) = 3467072


Lets's calculate GCF of 797,220,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3467072/1

Therefore the LCM of Fractions 71/797,448/220,763/891 is 3467072

Greatest Common Factor of 797,220,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,220,891 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 797,220,891 . The biggest common factor number is the GCF number.
So the greatest common factor 797,220,891 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 71/797, 448/220, 763/891

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 71/797, 448/220, 763/891?

Answer: LCM of Numerators as per given numbers 71/797, 448/220, 763/891 is

LCM of Numerators i.e. for 71,448,763 is 3467072

GCF of denominators i.e. for 797,220,891 is 1.

Thus, LCM of Fractions is 3467072.Finally, LCM of Fractions for 71/797, 448/220, 763/891 is 3467072.