Least Common Multiple of 822/424, 3554/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 822/424, 3554/893 quickly i.e. 1460694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/424, 3554/893 is 1460694.

LCM(822/424, 3554/893) = 1460694

LCM of 822/424, 3554/893

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 822/424,3554/893

Given numbers are 822/424,3554/893

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 822,3554

Least Common Multiple of Numerators i.e. LCM of 822,3554 is 1460694.

GCF of Denominators means GCF of 424,893 as per the given fractions.

GCF of 424,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,3554

LCM of Fractions 822/424,3554/893 is 1460694

2 822, 3554
411, 1777

∴ So the LCM of the given numbers is 2 x 411 x 1777 = 1460694

Least Common Multiple of 822,3554 with GCF Formula

Least Common Multiple of 822,3554 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 822,3554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,3554) = 2

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

GCF(822,3554) x common factors =2 x 1 = 2

LCM(822,3554) = ( 822 × 3554 ) / 2

LCM(822,3554) = 2921388 / 2

LCM(822,3554) = 1460694


Lets's calculate GCF of 424,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1460694/1

Therefore the LCM of Fractions 822/424,3554/893 is 1460694

Greatest Common Factor of 424,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,893 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 424,893 . The biggest common factor number is the GCF number.
So the greatest common factor 424,893 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 822/424, 3554/893

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 822/424, 3554/893?

Answer: LCM of Numerators as per given numbers 822/424, 3554/893 is

LCM of Numerators i.e. for 822,3554 is 1460694

GCF of denominators i.e. for 424,893 is 1.

Thus, LCM of Fractions is 1460694.Finally, LCM of Fractions for 822/424, 3554/893 is 1460694.