Least Common Multiple of 212/34, 487/8546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/34, 487/8546 quickly i.e. 51622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/34, 487/8546 is 51622.

LCM(212/34, 487/8546) = 51622

LCM of 212/34, 487/8546

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 212/34,487/8546

Given numbers are 212/34,487/8546

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 212,487

Least Common Multiple of Numerators i.e. LCM of 212,487 is 103244.

GCF of Denominators means GCF of 34,8546 as per the given fractions.

GCF of 34,8546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,487

LCM of Fractions 212/34,487/8546 is 51622

Given numbers has no common factors except 1. So, there LCM is their product i.e 103244

Least Common Multiple of 212,487 with GCF Formula

Least Common Multiple of 212,487 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 212,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,487) = 1

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

GCF(212,487) x common factors =1 x 1 = 1

LCM(212,487) = ( 212 × 487 ) / 1

LCM(212,487) = 103244 / 1

LCM(212,487) = 103244


Lets's calculate GCF of 34,8546

2 34, 8546
17, 4273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103244/2

Therefore the LCM of Fractions 212/34,487/8546 is 51622

Greatest Common Factor of 34,8546 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,8546 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 8546

List of positive integer factors of 8546 that divides 8546 without a remainder.

1,2,4273,8546

Greatest Common Factor

We found the factors 34,8546 . The biggest common factor number is the GCF number.
So the greatest common factor 34,8546 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 212/34, 487/8546

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 212/34, 487/8546?

Answer: LCM of Numerators as per given numbers 212/34, 487/8546 is

LCM of Numerators i.e. for 212,487 is 103244

GCF of denominators i.e. for 34,8546 is 2.

Thus, LCM of Fractions is 51622.Finally, LCM of Fractions for 212/34, 487/8546 is 51622.