Least Common Multiple of 2995/747, 8400/6950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2995/747, 8400/6950 quickly i.e. 5031600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2995/747, 8400/6950 is 5031600.

LCM(2995/747, 8400/6950) = 5031600

LCM of 2995/747, 8400/6950

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 2995/747,8400/6950

Given numbers are 2995/747,8400/6950

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 2995,8400

Least Common Multiple of Numerators i.e. LCM of 2995,8400 is 5031600.

GCF of Denominators means GCF of 747,6950 as per the given fractions.

GCF of 747,6950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2995,8400

LCM of Fractions 2995/747,8400/6950 is 5031600

5 2995, 8400
599, 1680

∴ So the LCM of the given numbers is 5 x 599 x 1680 = 5031600

Least Common Multiple of 2995,8400 with GCF Formula

Least Common Multiple of 2995,8400 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 2995,8400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2995,8400) = 5

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

GCF(2995,8400) x common factors =5 x 1 = 5

LCM(2995,8400) = ( 2995 × 8400 ) / 5

LCM(2995,8400) = 25158000 / 5

LCM(2995,8400) = 5031600


Lets's calculate GCF of 747,6950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5031600/1

Therefore the LCM of Fractions 2995/747,8400/6950 is 5031600

Greatest Common Factor of 747,6950 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,6950 By Matching Biggest Common Factor Method

Factors of 747

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

1,3,9,83,249,747

Factors of 6950

List of positive integer factors of 6950 that divides 6950 without a remainder.

1,2,5,10,25,50,139,278,695,1390,3475,6950

Greatest Common Factor

We found the factors 747,6950 . The biggest common factor number is the GCF number.
So the greatest common factor 747,6950 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 2995/747, 8400/6950

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 2995/747, 8400/6950?

Answer: LCM of Numerators as per given numbers 2995/747, 8400/6950 is

LCM of Numerators i.e. for 2995,8400 is 5031600

GCF of denominators i.e. for 747,6950 is 1.

Thus, LCM of Fractions is 5031600.Finally, LCM of Fractions for 2995/747, 8400/6950 is 5031600.