Least Common Multiple of 78/864, 5762/1698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/864, 5762/1698 quickly i.e. 37453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/864, 5762/1698 is 37453.

LCM(78/864, 5762/1698) = 37453

LCM of 78/864, 5762/1698

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 78/864,5762/1698

Given numbers are 78/864,5762/1698

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 78,5762

Least Common Multiple of Numerators i.e. LCM of 78,5762 is 224718.

GCF of Denominators means GCF of 864,1698 as per the given fractions.

GCF of 864,1698 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,5762

LCM of Fractions 78/864,5762/1698 is 37453

2 78, 5762
39, 2881

∴ So the LCM of the given numbers is 2 x 39 x 2881 = 224718

Least Common Multiple of 78,5762 with GCF Formula

Least Common Multiple of 78,5762 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 78,5762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,5762) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(78,5762) x common factors =2 x 1 = 2

LCM(78,5762) = ( 78 × 5762 ) / 2

LCM(78,5762) = 449436 / 2

LCM(78,5762) = 224718


Lets's calculate GCF of 864,1698

2 864, 1698
3 432, 849
144, 283

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224718/6

Therefore the LCM of Fractions 78/864,5762/1698 is 37453

Greatest Common Factor of 864,1698 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,1698 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 1698

List of positive integer factors of 1698 that divides 1698 without a remainder.

1,2,3,6,283,566,849,1698

Greatest Common Factor

We found the factors 864,1698 . The biggest common factor number is the GCF number.
So the greatest common factor 864,1698 is 6.


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 78/864, 5762/1698

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 78/864, 5762/1698?

Answer: LCM of Numerators as per given numbers 78/864, 5762/1698 is

LCM of Numerators i.e. for 78,5762 is 224718

GCF of denominators i.e. for 864,1698 is 6.

Thus, LCM of Fractions is 37453.Finally, LCM of Fractions for 78/864, 5762/1698 is 37453.