Least Common Multiple of 66/15, 78/336, 724/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/15, 78/336, 724/505 quickly i.e. 310596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/15, 78/336, 724/505 is 310596.

LCM(66/15, 78/336, 724/505) = 310596

LCM of 66/15, 78/336, 724/505

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 66/15,78/336,724/505

Given numbers are 66/15,78/336,724/505

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 66,78,724

Least Common Multiple of Numerators i.e. LCM of 66,78,724 is 310596.

GCF of Denominators means GCF of 15,336,505 as per the given fractions.

GCF of 15,336,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,78,724

LCM of Fractions 66/15,78/336,724/505 is 310596

2 66, 78, 724
3 33, 39, 362
11, 13, 362

∴ So the LCM of the given numbers is 2 x 3 x 11 x 13 x 362 = 310596

Least Common Multiple of 66,78,724 with GCF Formula

Least Common Multiple of 66,78,724 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 66,78,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,78,724) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(66,78,724) x common factors =2 x 6 = 12

LCM(66,78,724) = ( 66 × 78 × 724 ) / 12

LCM(66,78,724) = 3727152 / 12

LCM(66,78,724) = 310596


Lets's calculate GCF of 15,336,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310596/1

Therefore the LCM of Fractions 66/15,78/336,724/505 is 310596

Greatest Common Factor of 15,336,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,336,505 By Matching Biggest Common Factor Method

Factors of 15

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

1,3,5,15

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 15,336,505 . The biggest common factor number is the GCF number.
So the greatest common factor 15,336,505 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 66/15, 78/336, 724/505

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 66/15, 78/336, 724/505?

Answer: LCM of Numerators as per given numbers 66/15, 78/336, 724/505 is

LCM of Numerators i.e. for 66,78,724 is 310596

GCF of denominators i.e. for 15,336,505 is 1.

Thus, LCM of Fractions is 310596.Finally, LCM of Fractions for 66/15, 78/336, 724/505 is 310596.