Least Common Multiple of 82/76, 56/68, 823/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/76, 56/68, 823/827 quickly i.e. 1889608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/76, 56/68, 823/827 is 1889608.

LCM(82/76, 56/68, 823/827) = 1889608

LCM of 82/76, 56/68, 823/827

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 82/76,56/68,823/827

Given numbers are 82/76,56/68,823/827

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 82,56,823

Least Common Multiple of Numerators i.e. LCM of 82,56,823 is 1889608.

GCF of Denominators means GCF of 76,68,827 as per the given fractions.

GCF of 76,68,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,56,823

LCM of Fractions 82/76,56/68,823/827 is 1889608

2 82, 56, 823
41, 28, 823

∴ So the LCM of the given numbers is 2 x 41 x 28 x 823 = 1889608

Least Common Multiple of 82,56,823 with GCF Formula

Least Common Multiple of 82,56,823 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 82,56,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,56,823) = 1

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

GCF(82,56,823) x common factors =1 x 2 = 2

LCM(82,56,823) = ( 82 × 56 × 823 ) / 2

LCM(82,56,823) = 3779216 / 2

LCM(82,56,823) = 1889608


Lets's calculate GCF of 76,68,827

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1889608/1

Therefore the LCM of Fractions 82/76,56/68,823/827 is 1889608

Greatest Common Factor of 76,68,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,68,827 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 76,68,827 . The biggest common factor number is the GCF number.
So the greatest common factor 76,68,827 is 1.


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 82/76, 56/68, 823/827

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 82/76, 56/68, 823/827?

Answer: LCM of Numerators as per given numbers 82/76, 56/68, 823/827 is

LCM of Numerators i.e. for 82,56,823 is 1889608

GCF of denominators i.e. for 76,68,827 is 1.

Thus, LCM of Fractions is 1889608.Finally, LCM of Fractions for 82/76, 56/68, 823/827 is 1889608.