Least Common Multiple of 74/822, 5546/8716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/822, 5546/8716 quickly i.e. 102601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/822, 5546/8716 is 102601.

LCM(74/822, 5546/8716) = 102601

LCM of 74/822, 5546/8716

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 74/822,5546/8716

Given numbers are 74/822,5546/8716

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 74,5546

Least Common Multiple of Numerators i.e. LCM of 74,5546 is 205202.

GCF of Denominators means GCF of 822,8716 as per the given fractions.

GCF of 822,8716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,5546

LCM of Fractions 74/822,5546/8716 is 102601

2 74, 5546
37, 2773

∴ So the LCM of the given numbers is 2 x 37 x 2773 = 205202

Least Common Multiple of 74,5546 with GCF Formula

Least Common Multiple of 74,5546 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 74,5546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,5546) = 2

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

GCF(74,5546) x common factors =2 x 1 = 2

LCM(74,5546) = ( 74 × 5546 ) / 2

LCM(74,5546) = 410404 / 2

LCM(74,5546) = 205202


Lets's calculate GCF of 822,8716

2 822, 8716
411, 4358

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205202/2

Therefore the LCM of Fractions 74/822,5546/8716 is 102601

Greatest Common Factor of 822,8716 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,8716 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 8716

List of positive integer factors of 8716 that divides 8716 without a remainder.

1,2,4,2179,4358,8716

Greatest Common Factor

We found the factors 822,8716 . The biggest common factor number is the GCF number.
So the greatest common factor 822,8716 is 2.


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 74/822, 5546/8716

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 74/822, 5546/8716?

Answer: LCM of Numerators as per given numbers 74/822, 5546/8716 is

LCM of Numerators i.e. for 74,5546 is 205202

GCF of denominators i.e. for 822,8716 is 2.

Thus, LCM of Fractions is 102601.Finally, LCM of Fractions for 74/822, 5546/8716 is 102601.