Least Common Multiple of 416/82, 648/7512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 416/82, 648/7512 quickly i.e. 16848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 416/82, 648/7512 is 16848.

LCM(416/82, 648/7512) = 16848

LCM of 416/82, 648/7512

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 416/82,648/7512

Given numbers are 416/82,648/7512

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 416,648

Least Common Multiple of Numerators i.e. LCM of 416,648 is 33696.

GCF of Denominators means GCF of 82,7512 as per the given fractions.

GCF of 82,7512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 416,648

LCM of Fractions 416/82,648/7512 is 16848

2 416, 648
2 208, 324
2 104, 162
52, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 52 x 81 = 33696

Least Common Multiple of 416,648 with GCF Formula

Least Common Multiple of 416,648 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 416,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,648) = 8

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

GCF(416,648) x common factors =8 x 1 = 8

LCM(416,648) = ( 416 × 648 ) / 8

LCM(416,648) = 269568 / 8

LCM(416,648) = 33696


Lets's calculate GCF of 82,7512

2 82, 7512
41, 3756

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33696/2

Therefore the LCM of Fractions 416/82,648/7512 is 16848

Greatest Common Factor of 82,7512 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,7512 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 7512

List of positive integer factors of 7512 that divides 7512 without a remainder.

1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512

Greatest Common Factor

We found the factors 82,7512 . The biggest common factor number is the GCF number.
So the greatest common factor 82,7512 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 416/82, 648/7512

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 416/82, 648/7512?

Answer: LCM of Numerators as per given numbers 416/82, 648/7512 is

LCM of Numerators i.e. for 416,648 is 33696

GCF of denominators i.e. for 82,7512 is 2.

Thus, LCM of Fractions is 16848.Finally, LCM of Fractions for 416/82, 648/7512 is 16848.