Least Common Multiple of 71/596, 468/767, 346/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/596, 468/767, 346/356 quickly i.e. 5748444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/596, 468/767, 346/356 is 5748444.

LCM(71/596, 468/767, 346/356) = 5748444

LCM of 71/596, 468/767, 346/356

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 71/596,468/767,346/356

Given numbers are 71/596,468/767,346/356

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 71,468,346

Least Common Multiple of Numerators i.e. LCM of 71,468,346 is 5748444.

GCF of Denominators means GCF of 596,767,356 as per the given fractions.

GCF of 596,767,356 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,468,346

LCM of Fractions 71/596,468/767,346/356 is 5748444

2 71, 468, 346
71, 234, 173

∴ So the LCM of the given numbers is 2 x 71 x 234 x 173 = 5748444

Least Common Multiple of 71,468,346 with GCF Formula

Least Common Multiple of 71,468,346 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 71,468,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,468,346) = 1

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

GCF(71,468,346) x common factors =1 x 2 = 2

LCM(71,468,346) = ( 71 × 468 × 346 ) / 2

LCM(71,468,346) = 11496888 / 2

LCM(71,468,346) = 5748444


Lets's calculate GCF of 596,767,356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5748444/1

Therefore the LCM of Fractions 71/596,468/767,346/356 is 5748444

Greatest Common Factor of 596,767,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,767,356 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 596,767,356 . The biggest common factor number is the GCF number.
So the greatest common factor 596,767,356 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 71/596, 468/767, 346/356

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 71/596, 468/767, 346/356?

Answer: LCM of Numerators as per given numbers 71/596, 468/767, 346/356 is

LCM of Numerators i.e. for 71,468,346 is 5748444

GCF of denominators i.e. for 596,767,356 is 1.

Thus, LCM of Fractions is 5748444.Finally, LCM of Fractions for 71/596, 468/767, 346/356 is 5748444.