Least Common Multiple of 182/53, 313/6859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 182/53, 313/6859 quickly i.e. 56966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/53, 313/6859 is 56966.

LCM(182/53, 313/6859) = 56966

LCM of 182/53, 313/6859

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 182/53,313/6859

Given numbers are 182/53,313/6859

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 182,313

Least Common Multiple of Numerators i.e. LCM of 182,313 is 56966.

GCF of Denominators means GCF of 53,6859 as per the given fractions.

GCF of 53,6859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,313

LCM of Fractions 182/53,313/6859 is 56966

Given numbers has no common factors except 1. So, there LCM is their product i.e 56966

Least Common Multiple of 182,313 with GCF Formula

Least Common Multiple of 182,313 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 182,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,313) = 1

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

GCF(182,313) x common factors =1 x 1 = 1

LCM(182,313) = ( 182 × 313 ) / 1

LCM(182,313) = 56966 / 1

LCM(182,313) = 56966


Lets's calculate GCF of 53,6859

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56966/1

Therefore the LCM of Fractions 182/53,313/6859 is 56966

Greatest Common Factor of 53,6859 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,6859 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 6859

List of positive integer factors of 6859 that divides 6859 without a remainder.

1,19,361,6859

Greatest Common Factor

We found the factors 53,6859 . The biggest common factor number is the GCF number.
So the greatest common factor 53,6859 is 1.


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 182/53, 313/6859

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 182/53, 313/6859?

Answer: LCM of Numerators as per given numbers 182/53, 313/6859 is

LCM of Numerators i.e. for 182,313 is 56966

GCF of denominators i.e. for 53,6859 is 1.

Thus, LCM of Fractions is 56966.Finally, LCM of Fractions for 182/53, 313/6859 is 56966.