Least Common Multiple of 9021/224, 6237/7690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9021/224, 6237/7690 quickly i.e. 18754659/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9021/224, 6237/7690 is 18754659/2.

LCM(9021/224, 6237/7690) = 18754659/2

LCM of 9021/224, 6237/7690

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 9021/224,6237/7690

Given numbers are 9021/224,6237/7690

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 9021,6237

Least Common Multiple of Numerators i.e. LCM of 9021,6237 is 18754659.

GCF of Denominators means GCF of 224,7690 as per the given fractions.

GCF of 224,7690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9021,6237

LCM of Fractions 9021/224,6237/7690 is 18754659/2

3 9021, 6237
3007, 2079

∴ So the LCM of the given numbers is 3 x 3007 x 2079 = 18754659

Least Common Multiple of 9021,6237 with GCF Formula

Least Common Multiple of 9021,6237 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 9021,6237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9021,6237) = 3

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

GCF(9021,6237) x common factors =3 x 1 = 3

LCM(9021,6237) = ( 9021 × 6237 ) / 3

LCM(9021,6237) = 56263977 / 3

LCM(9021,6237) = 18754659


Lets's calculate GCF of 224,7690

2 224, 7690
112, 3845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18754659/2

Therefore the LCM of Fractions 9021/224,6237/7690 is 18754659/2

Greatest Common Factor of 224,7690 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,7690 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 7690

List of positive integer factors of 7690 that divides 7690 without a remainder.

1,2,5,10,769,1538,3845,7690

Greatest Common Factor

We found the factors 224,7690 . The biggest common factor number is the GCF number.
So the greatest common factor 224,7690 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 9021/224, 6237/7690

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 9021/224, 6237/7690?

Answer: LCM of Numerators as per given numbers 9021/224, 6237/7690 is

LCM of Numerators i.e. for 9021,6237 is 18754659

GCF of denominators i.e. for 224,7690 is 2.

Thus, LCM of Fractions is 18754659/2.Finally, LCM of Fractions for 9021/224, 6237/7690 is 18754659/2.