Least Common Multiple of 824/69, 918/51, 113/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/69, 918/51, 113/648 quickly i.e. 14246136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/69, 918/51, 113/648 is 14246136.

LCM(824/69, 918/51, 113/648) = 14246136

LCM of 824/69, 918/51, 113/648

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 824/69,918/51,113/648

Given numbers are 824/69,918/51,113/648

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 824,918,113

Least Common Multiple of Numerators i.e. LCM of 824,918,113 is 42738408.

GCF of Denominators means GCF of 69,51,648 as per the given fractions.

GCF of 69,51,648 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,918,113

LCM of Fractions 824/69,918/51,113/648 is 14246136

2 824, 918, 113
412, 459, 113

∴ So the LCM of the given numbers is 2 x 412 x 459 x 113 = 42738408

Least Common Multiple of 824,918,113 with GCF Formula

Least Common Multiple of 824,918,113 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 824,918,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,918,113) = 1

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

GCF(824,918,113) x common factors =1 x 2 = 2

LCM(824,918,113) = ( 824 × 918 × 113 ) / 2

LCM(824,918,113) = 85476816 / 2

LCM(824,918,113) = 42738408


Lets's calculate GCF of 69,51,648

3 69, 51, 648
23, 17, 216

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42738408/3

Therefore the LCM of Fractions 824/69,918/51,113/648 is 14246136

Greatest Common Factor of 69,51,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,51,648 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 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 69,51,648 . The biggest common factor number is the GCF number.
So the greatest common factor 69,51,648 is 3.


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 824/69, 918/51, 113/648

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 824/69, 918/51, 113/648?

Answer: LCM of Numerators as per given numbers 824/69, 918/51, 113/648 is

LCM of Numerators i.e. for 824,918,113 is 42738408

GCF of denominators i.e. for 69,51,648 is 3.

Thus, LCM of Fractions is 14246136.Finally, LCM of Fractions for 824/69, 918/51, 113/648 is 14246136.