Least Common Multiple of 8053/336, 2543/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8053/336, 2543/784 quickly i.e. 20478779/112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8053/336, 2543/784 is 20478779/112.

LCM(8053/336, 2543/784) = 20478779/112

LCM of 8053/336, 2543/784

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 8053/336,2543/784

Given numbers are 8053/336,2543/784

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 8053,2543

Least Common Multiple of Numerators i.e. LCM of 8053,2543 is 20478779.

GCF of Denominators means GCF of 336,784 as per the given fractions.

GCF of 336,784 is 112 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8053,2543

LCM of Fractions 8053/336,2543/784 is 20478779/112

Given numbers has no common factors except 1. So, there LCM is their product i.e 20478779

Least Common Multiple of 8053,2543 with GCF Formula

Least Common Multiple of 8053,2543 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 8053,2543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8053,2543) = 1

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

GCF(8053,2543) x common factors =1 x 1 = 1

LCM(8053,2543) = ( 8053 × 2543 ) / 1

LCM(8053,2543) = 20478779 / 1

LCM(8053,2543) = 20478779


Lets's calculate GCF of 336,784

2 336, 784
2 168, 392
2 84, 196
2 42, 98
7 21, 49
3, 7

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 7 = 112

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20478779/112

Therefore the LCM of Fractions 8053/336,2543/784 is 20478779/112

Greatest Common Factor of 336,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,784 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 336,784 . The biggest common factor number is the GCF number.
So the greatest common factor 336,784 is 112.


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 8053/336, 2543/784

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 8053/336, 2543/784?

Answer: LCM of Numerators as per given numbers 8053/336, 2543/784 is

LCM of Numerators i.e. for 8053,2543 is 20478779

GCF of denominators i.e. for 336,784 is 112.

Thus, LCM of Fractions is 20478779/112.Finally, LCM of Fractions for 8053/336, 2543/784 is 20478779/112.