Least Common Multiple of 845/872, 463/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 845/872, 463/214 quickly i.e. 391235/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 845/872, 463/214 is 391235/2.

LCM(845/872, 463/214) = 391235/2

LCM of 845/872, 463/214

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 845/872,463/214

Given numbers are 845/872,463/214

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 845,463

Least Common Multiple of Numerators i.e. LCM of 845,463 is 391235.

GCF of Denominators means GCF of 872,214 as per the given fractions.

GCF of 872,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 845,463

LCM of Fractions 845/872,463/214 is 391235/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 391235

Least Common Multiple of 845,463 with GCF Formula

Least Common Multiple of 845,463 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 845,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,463) = 1

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

GCF(845,463) x common factors =1 x 1 = 1

LCM(845,463) = ( 845 × 463 ) / 1

LCM(845,463) = 391235 / 1

LCM(845,463) = 391235


Lets's calculate GCF of 872,214

2 872, 214
436, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 391235/2

Therefore the LCM of Fractions 845/872,463/214 is 391235/2

Greatest Common Factor of 872,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,214 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 872,214 . The biggest common factor number is the GCF number.
So the greatest common factor 872,214 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 845/872, 463/214

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 845/872, 463/214?

Answer: LCM of Numerators as per given numbers 845/872, 463/214 is

LCM of Numerators i.e. for 845,463 is 391235

GCF of denominators i.e. for 872,214 is 2.

Thus, LCM of Fractions is 391235/2.Finally, LCM of Fractions for 845/872, 463/214 is 391235/2.