Least Common Multiple of 7149/693, 4661/1038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7149/693, 4661/1038 quickly i.e. 11107163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7149/693, 4661/1038 is 11107163.

LCM(7149/693, 4661/1038) = 11107163

LCM of 7149/693, 4661/1038

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 7149/693,4661/1038

Given numbers are 7149/693,4661/1038

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 7149,4661

Least Common Multiple of Numerators i.e. LCM of 7149,4661 is 33321489.

GCF of Denominators means GCF of 693,1038 as per the given fractions.

GCF of 693,1038 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7149,4661

LCM of Fractions 7149/693,4661/1038 is 11107163

Given numbers has no common factors except 1. So, there LCM is their product i.e 33321489

Least Common Multiple of 7149,4661 with GCF Formula

Least Common Multiple of 7149,4661 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 7149,4661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7149,4661) = 1

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

GCF(7149,4661) x common factors =1 x 1 = 1

LCM(7149,4661) = ( 7149 × 4661 ) / 1

LCM(7149,4661) = 33321489 / 1

LCM(7149,4661) = 33321489


Lets's calculate GCF of 693,1038

3 693, 1038
231, 346

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33321489/3

Therefore the LCM of Fractions 7149/693,4661/1038 is 11107163

Greatest Common Factor of 693,1038 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,1038 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 1038

List of positive integer factors of 1038 that divides 1038 without a remainder.

1,2,3,6,173,346,519,1038

Greatest Common Factor

We found the factors 693,1038 . The biggest common factor number is the GCF number.
So the greatest common factor 693,1038 is 3.


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 7149/693, 4661/1038

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 7149/693, 4661/1038?

Answer: LCM of Numerators as per given numbers 7149/693, 4661/1038 is

LCM of Numerators i.e. for 7149,4661 is 33321489

GCF of denominators i.e. for 693,1038 is 3.

Thus, LCM of Fractions is 11107163.Finally, LCM of Fractions for 7149/693, 4661/1038 is 11107163.