Least Common Multiple of 668/915, 588/493, 768/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 668/915, 588/493, 768/358 quickly i.e. 6284544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/915, 588/493, 768/358 is 6284544.

LCM(668/915, 588/493, 768/358) = 6284544

LCM of 668/915, 588/493, 768/358

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 668/915,588/493,768/358

Given numbers are 668/915,588/493,768/358

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 668,588,768

Least Common Multiple of Numerators i.e. LCM of 668,588,768 is 6284544.

GCF of Denominators means GCF of 915,493,358 as per the given fractions.

GCF of 915,493,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,588,768

LCM of Fractions 668/915,588/493,768/358 is 6284544

2 668, 588, 768
2 334, 294, 384
3 167, 147, 192
167, 49, 64

∴ So the LCM of the given numbers is 2 x 2 x 3 x 167 x 49 x 64 = 6284544

Least Common Multiple of 668,588,768 with GCF Formula

Least Common Multiple of 668,588,768 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 668,588,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,588,768) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(668,588,768) x common factors =4 x 12 = 48

LCM(668,588,768) = ( 668 × 588 × 768 ) / 48

LCM(668,588,768) = 301658112 / 48

LCM(668,588,768) = 6284544


Lets's calculate GCF of 915,493,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6284544/1

Therefore the LCM of Fractions 668/915,588/493,768/358 is 6284544

Greatest Common Factor of 915,493,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,493,358 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 915,493,358 . The biggest common factor number is the GCF number.
So the greatest common factor 915,493,358 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 668/915, 588/493, 768/358

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 668/915, 588/493, 768/358?

Answer: LCM of Numerators as per given numbers 668/915, 588/493, 768/358 is

LCM of Numerators i.e. for 668,588,768 is 6284544

GCF of denominators i.e. for 915,493,358 is 1.

Thus, LCM of Fractions is 6284544.Finally, LCM of Fractions for 668/915, 588/493, 768/358 is 6284544.