Least Common Multiple of 836/82, 768/6678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 836/82, 768/6678 quickly i.e. 80256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 836/82, 768/6678 is 80256.

LCM(836/82, 768/6678) = 80256

LCM of 836/82, 768/6678

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 836/82,768/6678

Given numbers are 836/82,768/6678

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 836,768

Least Common Multiple of Numerators i.e. LCM of 836,768 is 160512.

GCF of Denominators means GCF of 82,6678 as per the given fractions.

GCF of 82,6678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 836,768

LCM of Fractions 836/82,768/6678 is 80256

2 836, 768
2 418, 384
209, 192

∴ So the LCM of the given numbers is 2 x 2 x 209 x 192 = 160512

Least Common Multiple of 836,768 with GCF Formula

Least Common Multiple of 836,768 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 836,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,768) = 4

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

GCF(836,768) x common factors =4 x 1 = 4

LCM(836,768) = ( 836 × 768 ) / 4

LCM(836,768) = 642048 / 4

LCM(836,768) = 160512


Lets's calculate GCF of 82,6678

2 82, 6678
41, 3339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160512/2

Therefore the LCM of Fractions 836/82,768/6678 is 80256

Greatest Common Factor of 82,6678 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,6678 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 6678

List of positive integer factors of 6678 that divides 6678 without a remainder.

1,2,3,6,7,9,14,18,21,42,53,63,106,126,159,318,371,477,742,954,1113,2226,3339,6678

Greatest Common Factor

We found the factors 82,6678 . The biggest common factor number is the GCF number.
So the greatest common factor 82,6678 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 836/82, 768/6678

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 836/82, 768/6678?

Answer: LCM of Numerators as per given numbers 836/82, 768/6678 is

LCM of Numerators i.e. for 836,768 is 160512

GCF of denominators i.e. for 82,6678 is 2.

Thus, LCM of Fractions is 80256.Finally, LCM of Fractions for 836/82, 768/6678 is 80256.