Least Common Multiple of 243/286, 4753/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/286, 4753/702 quickly i.e. 1154979/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/286, 4753/702 is 1154979/26.

LCM(243/286, 4753/702) = 1154979/26

LCM of 243/286, 4753/702

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 243/286,4753/702

Given numbers are 243/286,4753/702

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 243,4753

Least Common Multiple of Numerators i.e. LCM of 243,4753 is 1154979.

GCF of Denominators means GCF of 286,702 as per the given fractions.

GCF of 286,702 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,4753

LCM of Fractions 243/286,4753/702 is 1154979/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 1154979

Least Common Multiple of 243,4753 with GCF Formula

Least Common Multiple of 243,4753 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 243,4753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,4753) = 1

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

GCF(243,4753) x common factors =1 x 1 = 1

LCM(243,4753) = ( 243 × 4753 ) / 1

LCM(243,4753) = 1154979 / 1

LCM(243,4753) = 1154979


Lets's calculate GCF of 286,702

2 286, 702
13 143, 351
11, 27

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1154979/26

Therefore the LCM of Fractions 243/286,4753/702 is 1154979/26

Greatest Common Factor of 286,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,702 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 286,702 . The biggest common factor number is the GCF number.
So the greatest common factor 286,702 is 26.


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 243/286, 4753/702

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 243/286, 4753/702?

Answer: LCM of Numerators as per given numbers 243/286, 4753/702 is

LCM of Numerators i.e. for 243,4753 is 1154979

GCF of denominators i.e. for 286,702 is 26.

Thus, LCM of Fractions is 1154979/26.Finally, LCM of Fractions for 243/286, 4753/702 is 1154979/26.