Least Common Multiple of 7385/856, 8289/4122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7385/856, 8289/4122 quickly i.e. 61214265/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7385/856, 8289/4122 is 61214265/2.

LCM(7385/856, 8289/4122) = 61214265/2

LCM of 7385/856, 8289/4122

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 7385/856,8289/4122

Given numbers are 7385/856,8289/4122

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 7385,8289

Least Common Multiple of Numerators i.e. LCM of 7385,8289 is 61214265.

GCF of Denominators means GCF of 856,4122 as per the given fractions.

GCF of 856,4122 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7385,8289

LCM of Fractions 7385/856,8289/4122 is 61214265/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 61214265

Least Common Multiple of 7385,8289 with GCF Formula

Least Common Multiple of 7385,8289 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 7385,8289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7385,8289) = 1

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

GCF(7385,8289) x common factors =1 x 1 = 1

LCM(7385,8289) = ( 7385 × 8289 ) / 1

LCM(7385,8289) = 61214265 / 1

LCM(7385,8289) = 61214265


Lets's calculate GCF of 856,4122

2 856, 4122
428, 2061

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61214265/2

Therefore the LCM of Fractions 7385/856,8289/4122 is 61214265/2

Greatest Common Factor of 856,4122 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,4122 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 4122

List of positive integer factors of 4122 that divides 4122 without a remainder.

1,2,3,6,9,18,229,458,687,1374,2061,4122

Greatest Common Factor

We found the factors 856,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 856,4122 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 7385/856, 8289/4122

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 7385/856, 8289/4122?

Answer: LCM of Numerators as per given numbers 7385/856, 8289/4122 is

LCM of Numerators i.e. for 7385,8289 is 61214265

GCF of denominators i.e. for 856,4122 is 2.

Thus, LCM of Fractions is 61214265/2.Finally, LCM of Fractions for 7385/856, 8289/4122 is 61214265/2.