Least Common Multiple of 724/382, 491/364, 758/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/382, 491/364, 758/668 quickly i.e. 67364218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/382, 491/364, 758/668 is 67364218.

LCM(724/382, 491/364, 758/668) = 67364218

LCM of 724/382, 491/364, 758/668

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 724/382,491/364,758/668

Given numbers are 724/382,491/364,758/668

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 724,491,758

Least Common Multiple of Numerators i.e. LCM of 724,491,758 is 134728436.

GCF of Denominators means GCF of 382,364,668 as per the given fractions.

GCF of 382,364,668 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,491,758

LCM of Fractions 724/382,491/364,758/668 is 67364218

2 724, 491, 758
362, 491, 379

∴ So the LCM of the given numbers is 2 x 362 x 491 x 379 = 134728436

Least Common Multiple of 724,491,758 with GCF Formula

Least Common Multiple of 724,491,758 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 724,491,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,491,758) = 1

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

GCF(724,491,758) x common factors =1 x 2 = 2

LCM(724,491,758) = ( 724 × 491 × 758 ) / 2

LCM(724,491,758) = 269456872 / 2

LCM(724,491,758) = 134728436


Lets's calculate GCF of 382,364,668

2 382, 364, 668
191, 182, 334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134728436/2

Therefore the LCM of Fractions 724/382,491/364,758/668 is 67364218

Greatest Common Factor of 382,364,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,364,668 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 382,364,668 . The biggest common factor number is the GCF number.
So the greatest common factor 382,364,668 is 2.


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 724/382, 491/364, 758/668

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 724/382, 491/364, 758/668?

Answer: LCM of Numerators as per given numbers 724/382, 491/364, 758/668 is

LCM of Numerators i.e. for 724,491,758 is 134728436

GCF of denominators i.e. for 382,364,668 is 2.

Thus, LCM of Fractions is 67364218.Finally, LCM of Fractions for 724/382, 491/364, 758/668 is 67364218.