Least Common Multiple of 2520/535, 6385/5845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2520/535, 6385/5845 quickly i.e. 643608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2520/535, 6385/5845 is 643608.

LCM(2520/535, 6385/5845) = 643608

LCM of 2520/535, 6385/5845

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 2520/535,6385/5845

Given numbers are 2520/535,6385/5845

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 2520,6385

Least Common Multiple of Numerators i.e. LCM of 2520,6385 is 3218040.

GCF of Denominators means GCF of 535,5845 as per the given fractions.

GCF of 535,5845 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2520,6385

LCM of Fractions 2520/535,6385/5845 is 643608

5 2520, 6385
504, 1277

∴ So the LCM of the given numbers is 5 x 504 x 1277 = 3218040

Least Common Multiple of 2520,6385 with GCF Formula

Least Common Multiple of 2520,6385 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 2520,6385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2520,6385) = 5

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

GCF(2520,6385) x common factors =5 x 1 = 5

LCM(2520,6385) = ( 2520 × 6385 ) / 5

LCM(2520,6385) = 16090200 / 5

LCM(2520,6385) = 3218040


Lets's calculate GCF of 535,5845

5 535, 5845
107, 1169

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3218040/5

Therefore the LCM of Fractions 2520/535,6385/5845 is 643608

Greatest Common Factor of 535,5845 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,5845 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 5845

List of positive integer factors of 5845 that divides 5845 without a remainder.

1,5,7,35,167,835,1169,5845

Greatest Common Factor

We found the factors 535,5845 . The biggest common factor number is the GCF number.
So the greatest common factor 535,5845 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2520/535, 6385/5845

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 2520/535, 6385/5845?

Answer: LCM of Numerators as per given numbers 2520/535, 6385/5845 is

LCM of Numerators i.e. for 2520,6385 is 3218040

GCF of denominators i.e. for 535,5845 is 5.

Thus, LCM of Fractions is 643608.Finally, LCM of Fractions for 2520/535, 6385/5845 is 643608.