Least Common Multiple of 2598/756, 6675/3490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2598/756, 6675/3490 quickly i.e. 2890275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2598/756, 6675/3490 is 2890275.

LCM(2598/756, 6675/3490) = 2890275

LCM of 2598/756, 6675/3490

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 2598/756,6675/3490

Given numbers are 2598/756,6675/3490

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 2598,6675

Least Common Multiple of Numerators i.e. LCM of 2598,6675 is 5780550.

GCF of Denominators means GCF of 756,3490 as per the given fractions.

GCF of 756,3490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2598,6675

LCM of Fractions 2598/756,6675/3490 is 2890275

3 2598, 6675
866, 2225

∴ So the LCM of the given numbers is 3 x 866 x 2225 = 5780550

Least Common Multiple of 2598,6675 with GCF Formula

Least Common Multiple of 2598,6675 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 2598,6675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2598,6675) = 3

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

GCF(2598,6675) x common factors =3 x 1 = 3

LCM(2598,6675) = ( 2598 × 6675 ) / 3

LCM(2598,6675) = 17341650 / 3

LCM(2598,6675) = 5780550


Lets's calculate GCF of 756,3490

2 756, 3490
378, 1745

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5780550/2

Therefore the LCM of Fractions 2598/756,6675/3490 is 2890275

Greatest Common Factor of 756,3490 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,3490 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1,2,5,10,349,698,1745,3490

Greatest Common Factor

We found the factors 756,3490 . The biggest common factor number is the GCF number.
So the greatest common factor 756,3490 is 2.


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 2598/756, 6675/3490

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 2598/756, 6675/3490?

Answer: LCM of Numerators as per given numbers 2598/756, 6675/3490 is

LCM of Numerators i.e. for 2598,6675 is 5780550

GCF of denominators i.e. for 756,3490 is 2.

Thus, LCM of Fractions is 2890275.Finally, LCM of Fractions for 2598/756, 6675/3490 is 2890275.