Least Common Multiple of 7485/521, 2997/1838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7485/521, 2997/1838 quickly i.e. 7477515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7485/521, 2997/1838 is 7477515.

LCM(7485/521, 2997/1838) = 7477515

LCM of 7485/521, 2997/1838

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 7485/521,2997/1838

Given numbers are 7485/521,2997/1838

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 7485,2997

Least Common Multiple of Numerators i.e. LCM of 7485,2997 is 7477515.

GCF of Denominators means GCF of 521,1838 as per the given fractions.

GCF of 521,1838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7485,2997

LCM of Fractions 7485/521,2997/1838 is 7477515

3 7485, 2997
2495, 999

∴ So the LCM of the given numbers is 3 x 2495 x 999 = 7477515

Least Common Multiple of 7485,2997 with GCF Formula

Least Common Multiple of 7485,2997 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 7485,2997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7485,2997) = 3

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

GCF(7485,2997) x common factors =3 x 1 = 3

LCM(7485,2997) = ( 7485 × 2997 ) / 3

LCM(7485,2997) = 22432545 / 3

LCM(7485,2997) = 7477515


Lets's calculate GCF of 521,1838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7477515/1

Therefore the LCM of Fractions 7485/521,2997/1838 is 7477515

Greatest Common Factor of 521,1838 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,1838 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 1838

List of positive integer factors of 1838 that divides 1838 without a remainder.

1,2,919,1838

Greatest Common Factor

We found the factors 521,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 521,1838 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7485/521, 2997/1838

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 7485/521, 2997/1838?

Answer: LCM of Numerators as per given numbers 7485/521, 2997/1838 is

LCM of Numerators i.e. for 7485,2997 is 7477515

GCF of denominators i.e. for 521,1838 is 1.

Thus, LCM of Fractions is 7477515.Finally, LCM of Fractions for 7485/521, 2997/1838 is 7477515.