Least Common Multiple of 117/836, 6527/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 117/836, 6527/834 quickly i.e. 763659/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 117/836, 6527/834 is 763659/2.

LCM(117/836, 6527/834) = 763659/2

LCM of 117/836, 6527/834

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 117/836,6527/834

Given numbers are 117/836,6527/834

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 117,6527

Least Common Multiple of Numerators i.e. LCM of 117,6527 is 763659.

GCF of Denominators means GCF of 836,834 as per the given fractions.

GCF of 836,834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 117,6527

LCM of Fractions 117/836,6527/834 is 763659/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 763659

Least Common Multiple of 117,6527 with GCF Formula

Least Common Multiple of 117,6527 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 117,6527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,6527) = 1

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

GCF(117,6527) x common factors =1 x 1 = 1

LCM(117,6527) = ( 117 × 6527 ) / 1

LCM(117,6527) = 763659 / 1

LCM(117,6527) = 763659


Lets's calculate GCF of 836,834

2 836, 834
418, 417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 763659/2

Therefore the LCM of Fractions 117/836,6527/834 is 763659/2

Greatest Common Factor of 836,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,834 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 836,834 . The biggest common factor number is the GCF number.
So the greatest common factor 836,834 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 117/836, 6527/834

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 117/836, 6527/834?

Answer: LCM of Numerators as per given numbers 117/836, 6527/834 is

LCM of Numerators i.e. for 117,6527 is 763659

GCF of denominators i.e. for 836,834 is 2.

Thus, LCM of Fractions is 763659/2.Finally, LCM of Fractions for 117/836, 6527/834 is 763659/2.