Least Common Multiple of 872/797, 462/669, 383/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 872/797, 462/669, 383/710 quickly i.e. 77148456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/797, 462/669, 383/710 is 77148456.

LCM(872/797, 462/669, 383/710) = 77148456

LCM of 872/797, 462/669, 383/710

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 872/797,462/669,383/710

Given numbers are 872/797,462/669,383/710

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 872,462,383

Least Common Multiple of Numerators i.e. LCM of 872,462,383 is 77148456.

GCF of Denominators means GCF of 797,669,710 as per the given fractions.

GCF of 797,669,710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,462,383

LCM of Fractions 872/797,462/669,383/710 is 77148456

2 872, 462, 383
436, 231, 383

∴ So the LCM of the given numbers is 2 x 436 x 231 x 383 = 77148456

Least Common Multiple of 872,462,383 with GCF Formula

Least Common Multiple of 872,462,383 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 872,462,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,462,383) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(872,462,383) x common factors =1 x 2 = 2

LCM(872,462,383) = ( 872 × 462 × 383 ) / 2

LCM(872,462,383) = 154296912 / 2

LCM(872,462,383) = 77148456


Lets's calculate GCF of 797,669,710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77148456/1

Therefore the LCM of Fractions 872/797,462/669,383/710 is 77148456

Greatest Common Factor of 797,669,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,669,710 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 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 797,669,710 . The biggest common factor number is the GCF number.
So the greatest common factor 797,669,710 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 872/797, 462/669, 383/710

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 872/797, 462/669, 383/710?

Answer: LCM of Numerators as per given numbers 872/797, 462/669, 383/710 is

LCM of Numerators i.e. for 872,462,383 is 77148456

GCF of denominators i.e. for 797,669,710 is 1.

Thus, LCM of Fractions is 77148456.Finally, LCM of Fractions for 872/797, 462/669, 383/710 is 77148456.