Least Common Multiple of 643/84, 2564/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 643/84, 2564/542 quickly i.e. 824326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/84, 2564/542 is 824326.

LCM(643/84, 2564/542) = 824326

LCM of 643/84, 2564/542

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 643/84,2564/542

Given numbers are 643/84,2564/542

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 643,2564

Least Common Multiple of Numerators i.e. LCM of 643,2564 is 1648652.

GCF of Denominators means GCF of 84,542 as per the given fractions.

GCF of 84,542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,2564

LCM of Fractions 643/84,2564/542 is 824326

Given numbers has no common factors except 1. So, there LCM is their product i.e 1648652

Least Common Multiple of 643,2564 with GCF Formula

Least Common Multiple of 643,2564 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 643,2564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,2564) = 1

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

GCF(643,2564) x common factors =1 x 1 = 1

LCM(643,2564) = ( 643 × 2564 ) / 1

LCM(643,2564) = 1648652 / 1

LCM(643,2564) = 1648652


Lets's calculate GCF of 84,542

2 84, 542
42, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1648652/2

Therefore the LCM of Fractions 643/84,2564/542 is 824326

Greatest Common Factor of 84,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,542 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 84,542 . The biggest common factor number is the GCF number.
So the greatest common factor 84,542 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 643/84, 2564/542

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 643/84, 2564/542?

Answer: LCM of Numerators as per given numbers 643/84, 2564/542 is

LCM of Numerators i.e. for 643,2564 is 1648652

GCF of denominators i.e. for 84,542 is 2.

Thus, LCM of Fractions is 824326.Finally, LCM of Fractions for 643/84, 2564/542 is 824326.