Least Common Multiple of 825/477, 5229/5498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/477, 5229/5498 quickly i.e. 1437975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/477, 5229/5498 is 1437975.

LCM(825/477, 5229/5498) = 1437975

LCM of 825/477, 5229/5498

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 825/477,5229/5498

Given numbers are 825/477,5229/5498

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 825,5229

Least Common Multiple of Numerators i.e. LCM of 825,5229 is 1437975.

GCF of Denominators means GCF of 477,5498 as per the given fractions.

GCF of 477,5498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,5229

LCM of Fractions 825/477,5229/5498 is 1437975

3 825, 5229
275, 1743

∴ So the LCM of the given numbers is 3 x 275 x 1743 = 1437975

Least Common Multiple of 825,5229 with GCF Formula

Least Common Multiple of 825,5229 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 825,5229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,5229) = 3

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

GCF(825,5229) x common factors =3 x 1 = 3

LCM(825,5229) = ( 825 × 5229 ) / 3

LCM(825,5229) = 4313925 / 3

LCM(825,5229) = 1437975


Lets's calculate GCF of 477,5498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1437975/1

Therefore the LCM of Fractions 825/477,5229/5498 is 1437975

Greatest Common Factor of 477,5498 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,5498 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 5498

List of positive integer factors of 5498 that divides 5498 without a remainder.

1,2,2749,5498

Greatest Common Factor

We found the factors 477,5498 . The biggest common factor number is the GCF number.
So the greatest common factor 477,5498 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 825/477, 5229/5498

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 825/477, 5229/5498?

Answer: LCM of Numerators as per given numbers 825/477, 5229/5498 is

LCM of Numerators i.e. for 825,5229 is 1437975

GCF of denominators i.e. for 477,5498 is 1.

Thus, LCM of Fractions is 1437975.Finally, LCM of Fractions for 825/477, 5229/5498 is 1437975.