Least Common Multiple of 6407/996, 5250/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6407/996, 5250/747 quickly i.e. 33636750/249 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6407/996, 5250/747 is 33636750/249.

LCM(6407/996, 5250/747) = 33636750/249

LCM of 6407/996, 5250/747

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 6407/996,5250/747

Given numbers are 6407/996,5250/747

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 6407,5250

Least Common Multiple of Numerators i.e. LCM of 6407,5250 is 33636750.

GCF of Denominators means GCF of 996,747 as per the given fractions.

GCF of 996,747 is 249 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6407,5250

LCM of Fractions 6407/996,5250/747 is 33636750/249

Given numbers has no common factors except 1. So, there LCM is their product i.e 33636750

Least Common Multiple of 6407,5250 with GCF Formula

Least Common Multiple of 6407,5250 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 6407,5250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6407,5250) = 1

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

GCF(6407,5250) x common factors =1 x 1 = 1

LCM(6407,5250) = ( 6407 × 5250 ) / 1

LCM(6407,5250) = 33636750 / 1

LCM(6407,5250) = 33636750


Lets's calculate GCF of 996,747

3 996, 747
83 332, 249
4, 3

∴ So the GCF of the given numbers is 3 x 83 = 249

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33636750/249

Therefore the LCM of Fractions 6407/996,5250/747 is 33636750/249

Greatest Common Factor of 996,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,747 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 996,747 . The biggest common factor number is the GCF number.
So the greatest common factor 996,747 is 249.


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 6407/996, 5250/747

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 6407/996, 5250/747?

Answer: LCM of Numerators as per given numbers 6407/996, 5250/747 is

LCM of Numerators i.e. for 6407,5250 is 33636750

GCF of denominators i.e. for 996,747 is 249.

Thus, LCM of Fractions is 33636750/249.Finally, LCM of Fractions for 6407/996, 5250/747 is 33636750/249.