Least Common Multiple of 493/68, 654/15, 824/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/68, 654/15, 824/736 quickly i.e. 132837864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/68, 654/15, 824/736 is 132837864.

LCM(493/68, 654/15, 824/736) = 132837864

LCM of 493/68, 654/15, 824/736

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 493/68,654/15,824/736

Given numbers are 493/68,654/15,824/736

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 493,654,824

Least Common Multiple of Numerators i.e. LCM of 493,654,824 is 132837864.

GCF of Denominators means GCF of 68,15,736 as per the given fractions.

GCF of 68,15,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,654,824

LCM of Fractions 493/68,654/15,824/736 is 132837864

2 493, 654, 824
493, 327, 412

∴ So the LCM of the given numbers is 2 x 493 x 327 x 412 = 132837864

Least Common Multiple of 493,654,824 with GCF Formula

Least Common Multiple of 493,654,824 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 493,654,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,654,824) = 1

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

GCF(493,654,824) x common factors =1 x 2 = 2

LCM(493,654,824) = ( 493 × 654 × 824 ) / 2

LCM(493,654,824) = 265675728 / 2

LCM(493,654,824) = 132837864


Lets's calculate GCF of 68,15,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132837864/1

Therefore the LCM of Fractions 493/68,654/15,824/736 is 132837864

Greatest Common Factor of 68,15,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,15,736 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 68,15,736 . The biggest common factor number is the GCF number.
So the greatest common factor 68,15,736 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 493/68, 654/15, 824/736

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 493/68, 654/15, 824/736?

Answer: LCM of Numerators as per given numbers 493/68, 654/15, 824/736 is

LCM of Numerators i.e. for 493,654,824 is 132837864

GCF of denominators i.e. for 68,15,736 is 1.

Thus, LCM of Fractions is 132837864.Finally, LCM of Fractions for 493/68, 654/15, 824/736 is 132837864.