Least Common Multiple of 6249/917, 4993/6906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6249/917, 4993/6906 quickly i.e. 31201257 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6249/917, 4993/6906 is 31201257.

LCM(6249/917, 4993/6906) = 31201257

LCM of 6249/917, 4993/6906

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 6249/917,4993/6906

Given numbers are 6249/917,4993/6906

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 6249,4993

Least Common Multiple of Numerators i.e. LCM of 6249,4993 is 31201257.

GCF of Denominators means GCF of 917,6906 as per the given fractions.

GCF of 917,6906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6249,4993

LCM of Fractions 6249/917,4993/6906 is 31201257

Given numbers has no common factors except 1. So, there LCM is their product i.e 31201257

Least Common Multiple of 6249,4993 with GCF Formula

Least Common Multiple of 6249,4993 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 6249,4993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6249,4993) = 1

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

GCF(6249,4993) x common factors =1 x 1 = 1

LCM(6249,4993) = ( 6249 × 4993 ) / 1

LCM(6249,4993) = 31201257 / 1

LCM(6249,4993) = 31201257


Lets's calculate GCF of 917,6906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31201257/1

Therefore the LCM of Fractions 6249/917,4993/6906 is 31201257

Greatest Common Factor of 917,6906 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,6906 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 6906

List of positive integer factors of 6906 that divides 6906 without a remainder.

1,2,3,6,1151,2302,3453,6906

Greatest Common Factor

We found the factors 917,6906 . The biggest common factor number is the GCF number.
So the greatest common factor 917,6906 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 6249/917, 4993/6906

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 6249/917, 4993/6906?

Answer: LCM of Numerators as per given numbers 6249/917, 4993/6906 is

LCM of Numerators i.e. for 6249,4993 is 31201257

GCF of denominators i.e. for 917,6906 is 1.

Thus, LCM of Fractions is 31201257.Finally, LCM of Fractions for 6249/917, 4993/6906 is 31201257.