Least Common Multiple of 82/666, 16/828, 751/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/666, 16/828, 751/892 quickly i.e. 246328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/666, 16/828, 751/892 is 246328.

LCM(82/666, 16/828, 751/892) = 246328

LCM of 82/666, 16/828, 751/892

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 82/666,16/828,751/892

Given numbers are 82/666,16/828,751/892

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 82,16,751

Least Common Multiple of Numerators i.e. LCM of 82,16,751 is 492656.

GCF of Denominators means GCF of 666,828,892 as per the given fractions.

GCF of 666,828,892 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,16,751

LCM of Fractions 82/666,16/828,751/892 is 246328

2 82, 16, 751
41, 8, 751

∴ So the LCM of the given numbers is 2 x 41 x 8 x 751 = 492656

Least Common Multiple of 82,16,751 with GCF Formula

Least Common Multiple of 82,16,751 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 82,16,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,16,751) = 1

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

GCF(82,16,751) x common factors =1 x 2 = 2

LCM(82,16,751) = ( 82 × 16 × 751 ) / 2

LCM(82,16,751) = 985312 / 2

LCM(82,16,751) = 492656


Lets's calculate GCF of 666,828,892

2 666, 828, 892
333, 414, 446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492656/2

Therefore the LCM of Fractions 82/666,16/828,751/892 is 246328

Greatest Common Factor of 666,828,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,828,892 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 666,828,892 . The biggest common factor number is the GCF number.
So the greatest common factor 666,828,892 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 82/666, 16/828, 751/892

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 82/666, 16/828, 751/892?

Answer: LCM of Numerators as per given numbers 82/666, 16/828, 751/892 is

LCM of Numerators i.e. for 82,16,751 is 492656

GCF of denominators i.e. for 666,828,892 is 2.

Thus, LCM of Fractions is 246328.Finally, LCM of Fractions for 82/666, 16/828, 751/892 is 246328.