Least Common Multiple of 3212/678, 9533/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3212/678, 9533/462 quickly i.e. 30619996/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3212/678, 9533/462 is 30619996/6.

LCM(3212/678, 9533/462) = 30619996/6

LCM of 3212/678, 9533/462

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 3212/678,9533/462

Given numbers are 3212/678,9533/462

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 3212,9533

Least Common Multiple of Numerators i.e. LCM of 3212,9533 is 30619996.

GCF of Denominators means GCF of 678,462 as per the given fractions.

GCF of 678,462 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3212,9533

LCM of Fractions 3212/678,9533/462 is 30619996/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 30619996

Least Common Multiple of 3212,9533 with GCF Formula

Least Common Multiple of 3212,9533 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 3212,9533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3212,9533) = 1

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

GCF(3212,9533) x common factors =1 x 1 = 1

LCM(3212,9533) = ( 3212 × 9533 ) / 1

LCM(3212,9533) = 30619996 / 1

LCM(3212,9533) = 30619996


Lets's calculate GCF of 678,462

2 678, 462
3 339, 231
113, 77

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30619996/6

Therefore the LCM of Fractions 3212/678,9533/462 is 30619996/6

Greatest Common Factor of 678,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,462 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 678,462 . The biggest common factor number is the GCF number.
So the greatest common factor 678,462 is 6.


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 3212/678, 9533/462

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 3212/678, 9533/462?

Answer: LCM of Numerators as per given numbers 3212/678, 9533/462 is

LCM of Numerators i.e. for 3212,9533 is 30619996

GCF of denominators i.e. for 678,462 is 6.

Thus, LCM of Fractions is 30619996/6.Finally, LCM of Fractions for 3212/678, 9533/462 is 30619996/6.