Least Common Multiple of 78/822, 5496/1381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/822, 5496/1381 quickly i.e. 71448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/822, 5496/1381 is 71448.

LCM(78/822, 5496/1381) = 71448

LCM of 78/822, 5496/1381

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 78/822,5496/1381

Given numbers are 78/822,5496/1381

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 78,5496

Least Common Multiple of Numerators i.e. LCM of 78,5496 is 71448.

GCF of Denominators means GCF of 822,1381 as per the given fractions.

GCF of 822,1381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,5496

LCM of Fractions 78/822,5496/1381 is 71448

2 78, 5496
3 39, 2748
13, 916

∴ So the LCM of the given numbers is 2 x 3 x 13 x 916 = 71448

Least Common Multiple of 78,5496 with GCF Formula

Least Common Multiple of 78,5496 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 78,5496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,5496) = 6

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

GCF(78,5496) x common factors =6 x 1 = 6

LCM(78,5496) = ( 78 × 5496 ) / 6

LCM(78,5496) = 428688 / 6

LCM(78,5496) = 71448


Lets's calculate GCF of 822,1381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71448/1

Therefore the LCM of Fractions 78/822,5496/1381 is 71448

Greatest Common Factor of 822,1381 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,1381 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 1381

List of positive integer factors of 1381 that divides 1381 without a remainder.

1,1381

Greatest Common Factor

We found the factors 822,1381 . The biggest common factor number is the GCF number.
So the greatest common factor 822,1381 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 78/822, 5496/1381

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 78/822, 5496/1381?

Answer: LCM of Numerators as per given numbers 78/822, 5496/1381 is

LCM of Numerators i.e. for 78,5496 is 71448

GCF of denominators i.e. for 822,1381 is 1.

Thus, LCM of Fractions is 71448.Finally, LCM of Fractions for 78/822, 5496/1381 is 71448.