Least Common Multiple of 82/48, 14/546, 372/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/48, 14/546, 372/513 quickly i.e. 35588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/48, 14/546, 372/513 is 35588.

LCM(82/48, 14/546, 372/513) = 35588

LCM of 82/48, 14/546, 372/513

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 82/48,14/546,372/513

Given numbers are 82/48,14/546,372/513

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 82,14,372

Least Common Multiple of Numerators i.e. LCM of 82,14,372 is 106764.

GCF of Denominators means GCF of 48,546,513 as per the given fractions.

GCF of 48,546,513 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,14,372

LCM of Fractions 82/48,14/546,372/513 is 35588

2 82, 14, 372
41, 7, 186

∴ So the LCM of the given numbers is 2 x 41 x 7 x 186 = 106764

Least Common Multiple of 82,14,372 with GCF Formula

Least Common Multiple of 82,14,372 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 82,14,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,14,372) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,14,372) x common factors =2 x 2 = 4

LCM(82,14,372) = ( 82 × 14 × 372 ) / 4

LCM(82,14,372) = 427056 / 4

LCM(82,14,372) = 106764


Lets's calculate GCF of 48,546,513

3 48, 546, 513
16, 182, 171

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106764/3

Therefore the LCM of Fractions 82/48,14/546,372/513 is 35588

Greatest Common Factor of 48,546,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,546,513 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 48,546,513 . The biggest common factor number is the GCF number.
So the greatest common factor 48,546,513 is 3.


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 82/48, 14/546, 372/513

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 82/48, 14/546, 372/513?

Answer: LCM of Numerators as per given numbers 82/48, 14/546, 372/513 is

LCM of Numerators i.e. for 82,14,372 is 106764

GCF of denominators i.e. for 48,546,513 is 3.

Thus, LCM of Fractions is 35588.Finally, LCM of Fractions for 82/48, 14/546, 372/513 is 35588.