Least Common Multiple of 3520/69, 2049/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3520/69, 2049/543 quickly i.e. 2404160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3520/69, 2049/543 is 2404160.

LCM(3520/69, 2049/543) = 2404160

LCM of 3520/69, 2049/543

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 3520/69,2049/543

Given numbers are 3520/69,2049/543

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 3520,2049

Least Common Multiple of Numerators i.e. LCM of 3520,2049 is 7212480.

GCF of Denominators means GCF of 69,543 as per the given fractions.

GCF of 69,543 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3520,2049

LCM of Fractions 3520/69,2049/543 is 2404160

Given numbers has no common factors except 1. So, there LCM is their product i.e 7212480

Least Common Multiple of 3520,2049 with GCF Formula

Least Common Multiple of 3520,2049 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 3520,2049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3520,2049) = 1

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

GCF(3520,2049) x common factors =1 x 1 = 1

LCM(3520,2049) = ( 3520 × 2049 ) / 1

LCM(3520,2049) = 7212480 / 1

LCM(3520,2049) = 7212480


Lets's calculate GCF of 69,543

3 69, 543
23, 181

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7212480/3

Therefore the LCM of Fractions 3520/69,2049/543 is 2404160

Greatest Common Factor of 69,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,543 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 69,543 . The biggest common factor number is the GCF number.
So the greatest common factor 69,543 is 3.


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 3520/69, 2049/543

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 3520/69, 2049/543?

Answer: LCM of Numerators as per given numbers 3520/69, 2049/543 is

LCM of Numerators i.e. for 3520,2049 is 7212480

GCF of denominators i.e. for 69,543 is 3.

Thus, LCM of Fractions is 2404160.Finally, LCM of Fractions for 3520/69, 2049/543 is 2404160.