Least Common Multiple of 491/836, 3627/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/836, 3627/858 quickly i.e. 1780857/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/836, 3627/858 is 1780857/22.

LCM(491/836, 3627/858) = 1780857/22

LCM of 491/836, 3627/858

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 491/836,3627/858

Given numbers are 491/836,3627/858

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 491,3627

Least Common Multiple of Numerators i.e. LCM of 491,3627 is 1780857.

GCF of Denominators means GCF of 836,858 as per the given fractions.

GCF of 836,858 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,3627

LCM of Fractions 491/836,3627/858 is 1780857/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 1780857

Least Common Multiple of 491,3627 with GCF Formula

Least Common Multiple of 491,3627 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 491,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,3627) = 1

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

GCF(491,3627) x common factors =1 x 1 = 1

LCM(491,3627) = ( 491 × 3627 ) / 1

LCM(491,3627) = 1780857 / 1

LCM(491,3627) = 1780857


Lets's calculate GCF of 836,858

2 836, 858
11 418, 429
38, 39

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1780857/22

Therefore the LCM of Fractions 491/836,3627/858 is 1780857/22

Greatest Common Factor of 836,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,858 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 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 836,858 . The biggest common factor number is the GCF number.
So the greatest common factor 836,858 is 22.


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 491/836, 3627/858

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 491/836, 3627/858?

Answer: LCM of Numerators as per given numbers 491/836, 3627/858 is

LCM of Numerators i.e. for 491,3627 is 1780857

GCF of denominators i.e. for 836,858 is 22.

Thus, LCM of Fractions is 1780857/22.Finally, LCM of Fractions for 491/836, 3627/858 is 1780857/22.