Least Common Multiple of 6249/351, 8973/9852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6249/351, 8973/9852 quickly i.e. 6230253 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6249/351, 8973/9852 is 6230253.

LCM(6249/351, 8973/9852) = 6230253

LCM of 6249/351, 8973/9852

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 6249/351,8973/9852

Given numbers are 6249/351,8973/9852

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 6249,8973

Least Common Multiple of Numerators i.e. LCM of 6249,8973 is 18690759.

GCF of Denominators means GCF of 351,9852 as per the given fractions.

GCF of 351,9852 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6249,8973

LCM of Fractions 6249/351,8973/9852 is 6230253

3 6249, 8973
2083, 2991

∴ So the LCM of the given numbers is 3 x 2083 x 2991 = 18690759

Least Common Multiple of 6249,8973 with GCF Formula

Least Common Multiple of 6249,8973 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 6249,8973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6249,8973) = 3

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

GCF(6249,8973) x common factors =3 x 1 = 3

LCM(6249,8973) = ( 6249 × 8973 ) / 3

LCM(6249,8973) = 56072277 / 3

LCM(6249,8973) = 18690759


Lets's calculate GCF of 351,9852

3 351, 9852
117, 3284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18690759/3

Therefore the LCM of Fractions 6249/351,8973/9852 is 6230253

Greatest Common Factor of 351,9852 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,9852 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 9852

List of positive integer factors of 9852 that divides 9852 without a remainder.

1,2,3,4,6,12,821,1642,2463,3284,4926,9852

Greatest Common Factor

We found the factors 351,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 351,9852 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 6249/351, 8973/9852

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 6249/351, 8973/9852?

Answer: LCM of Numerators as per given numbers 6249/351, 8973/9852 is

LCM of Numerators i.e. for 6249,8973 is 18690759

GCF of denominators i.e. for 351,9852 is 3.

Thus, LCM of Fractions is 6230253.Finally, LCM of Fractions for 6249/351, 8973/9852 is 6230253.