Least Common Multiple of 3543/690, 2584/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3543/690, 2584/210 quickly i.e. 9155112/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3543/690, 2584/210 is 9155112/30.

LCM(3543/690, 2584/210) = 9155112/30

LCM of 3543/690, 2584/210

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 3543/690,2584/210

Given numbers are 3543/690,2584/210

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 3543,2584

Least Common Multiple of Numerators i.e. LCM of 3543,2584 is 9155112.

GCF of Denominators means GCF of 690,210 as per the given fractions.

GCF of 690,210 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3543,2584

LCM of Fractions 3543/690,2584/210 is 9155112/30

Given numbers has no common factors except 1. So, there LCM is their product i.e 9155112

Least Common Multiple of 3543,2584 with GCF Formula

Least Common Multiple of 3543,2584 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 3543,2584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3543,2584) = 1

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

GCF(3543,2584) x common factors =1 x 1 = 1

LCM(3543,2584) = ( 3543 × 2584 ) / 1

LCM(3543,2584) = 9155112 / 1

LCM(3543,2584) = 9155112


Lets's calculate GCF of 690,210

2 690, 210
3 345, 105
5 115, 35
23, 7

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9155112/30

Therefore the LCM of Fractions 3543/690,2584/210 is 9155112/30

Greatest Common Factor of 690,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,210 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 690,210 . The biggest common factor number is the GCF number.
So the greatest common factor 690,210 is 30.


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 3543/690, 2584/210

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 3543/690, 2584/210?

Answer: LCM of Numerators as per given numbers 3543/690, 2584/210 is

LCM of Numerators i.e. for 3543,2584 is 9155112

GCF of denominators i.e. for 690,210 is 30.

Thus, LCM of Fractions is 9155112/30.Finally, LCM of Fractions for 3543/690, 2584/210 is 9155112/30.