Least Common Multiple of 7514/552, 2821/8398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7514/552, 2821/8398 quickly i.e. 815269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7514/552, 2821/8398 is 815269.

LCM(7514/552, 2821/8398) = 815269

LCM of 7514/552, 2821/8398

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 7514/552,2821/8398

Given numbers are 7514/552,2821/8398

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 7514,2821

Least Common Multiple of Numerators i.e. LCM of 7514,2821 is 1630538.

GCF of Denominators means GCF of 552,8398 as per the given fractions.

GCF of 552,8398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7514,2821

LCM of Fractions 7514/552,2821/8398 is 815269

13 7514, 2821
578, 217

∴ So the LCM of the given numbers is 13 x 578 x 217 = 1630538

Least Common Multiple of 7514,2821 with GCF Formula

Least Common Multiple of 7514,2821 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 7514,2821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7514,2821) = 13

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

GCF(7514,2821) x common factors =13 x 1 = 13

LCM(7514,2821) = ( 7514 × 2821 ) / 13

LCM(7514,2821) = 21196994 / 13

LCM(7514,2821) = 1630538


Lets's calculate GCF of 552,8398

2 552, 8398
276, 4199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1630538/2

Therefore the LCM of Fractions 7514/552,2821/8398 is 815269

Greatest Common Factor of 552,8398 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,8398 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 8398

List of positive integer factors of 8398 that divides 8398 without a remainder.

1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398

Greatest Common Factor

We found the factors 552,8398 . The biggest common factor number is the GCF number.
So the greatest common factor 552,8398 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 7514/552, 2821/8398

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 7514/552, 2821/8398?

Answer: LCM of Numerators as per given numbers 7514/552, 2821/8398 is

LCM of Numerators i.e. for 7514,2821 is 1630538

GCF of denominators i.e. for 552,8398 is 2.

Thus, LCM of Fractions is 815269.Finally, LCM of Fractions for 7514/552, 2821/8398 is 815269.