Least Common Multiple of 12/69, 13/499, 792/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/69, 13/499, 792/736 quickly i.e. 10296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/69, 13/499, 792/736 is 10296.

LCM(12/69, 13/499, 792/736) = 10296

LCM of 12/69, 13/499, 792/736

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 12/69,13/499,792/736

Given numbers are 12/69,13/499,792/736

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 12,13,792

Least Common Multiple of Numerators i.e. LCM of 12,13,792 is 10296.

GCF of Denominators means GCF of 69,499,736 as per the given fractions.

GCF of 69,499,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,13,792

LCM of Fractions 12/69,13/499,792/736 is 10296

2 12, 13, 792
2 6, 13, 396
3 3, 13, 198
1, 13, 66

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 13 x 66 = 10296

Least Common Multiple of 12,13,792 with GCF Formula

Least Common Multiple of 12,13,792 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 12,13,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,13,792) = 1

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

GCF(12,13,792) x common factors =1 x 12 = 12

LCM(12,13,792) = ( 12 × 13 × 792 ) / 12

LCM(12,13,792) = 123552 / 12

LCM(12,13,792) = 10296


Lets's calculate GCF of 69,499,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10296/1

Therefore the LCM of Fractions 12/69,13/499,792/736 is 10296

Greatest Common Factor of 69,499,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,499,736 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

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 69,499,736 . The biggest common factor number is the GCF number.
So the greatest common factor 69,499,736 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 12/69, 13/499, 792/736

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 12/69, 13/499, 792/736?

Answer: LCM of Numerators as per given numbers 12/69, 13/499, 792/736 is

LCM of Numerators i.e. for 12,13,792 is 10296

GCF of denominators i.e. for 69,499,736 is 1.

Thus, LCM of Fractions is 10296.Finally, LCM of Fractions for 12/69, 13/499, 792/736 is 10296.