Least Common Multiple of 82/10, 83/648, 278/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/10, 83/648, 278/888 quickly i.e. 473017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/10, 83/648, 278/888 is 473017.

LCM(82/10, 83/648, 278/888) = 473017

LCM of 82/10, 83/648, 278/888

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 82/10,83/648,278/888

Given numbers are 82/10,83/648,278/888

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 82,83,278

Least Common Multiple of Numerators i.e. LCM of 82,83,278 is 946034.

GCF of Denominators means GCF of 10,648,888 as per the given fractions.

GCF of 10,648,888 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,83,278

LCM of Fractions 82/10,83/648,278/888 is 473017

2 82, 83, 278
41, 83, 139

∴ So the LCM of the given numbers is 2 x 41 x 83 x 139 = 946034

Least Common Multiple of 82,83,278 with GCF Formula

Least Common Multiple of 82,83,278 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 82,83,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,83,278) = 1

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

GCF(82,83,278) x common factors =1 x 2 = 2

LCM(82,83,278) = ( 82 × 83 × 278 ) / 2

LCM(82,83,278) = 1892068 / 2

LCM(82,83,278) = 946034


Lets's calculate GCF of 10,648,888

2 10, 648, 888
5, 324, 444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 946034/2

Therefore the LCM of Fractions 82/10,83/648,278/888 is 473017

Greatest Common Factor of 10,648,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,648,888 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 10,648,888 . The biggest common factor number is the GCF number.
So the greatest common factor 10,648,888 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 82/10, 83/648, 278/888

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 82/10, 83/648, 278/888?

Answer: LCM of Numerators as per given numbers 82/10, 83/648, 278/888 is

LCM of Numerators i.e. for 82,83,278 is 946034

GCF of denominators i.e. for 10,648,888 is 2.

Thus, LCM of Fractions is 473017.Finally, LCM of Fractions for 82/10, 83/648, 278/888 is 473017.