Least Common Multiple of 491/682, 850/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/682, 850/878 quickly i.e. 208675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/682, 850/878 is 208675.

LCM(491/682, 850/878) = 208675

LCM of 491/682, 850/878

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 491/682,850/878

Given numbers are 491/682,850/878

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 491,850

Least Common Multiple of Numerators i.e. LCM of 491,850 is 417350.

GCF of Denominators means GCF of 682,878 as per the given fractions.

GCF of 682,878 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,850

LCM of Fractions 491/682,850/878 is 208675

Given numbers has no common factors except 1. So, there LCM is their product i.e 417350

Least Common Multiple of 491,850 with GCF Formula

Least Common Multiple of 491,850 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 491,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,850) = 1

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

GCF(491,850) x common factors =1 x 1 = 1

LCM(491,850) = ( 491 × 850 ) / 1

LCM(491,850) = 417350 / 1

LCM(491,850) = 417350


Lets's calculate GCF of 682,878

2 682, 878
341, 439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 417350/2

Therefore the LCM of Fractions 491/682,850/878 is 208675

Greatest Common Factor of 682,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,878 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 682,878 . The biggest common factor number is the GCF number.
So the greatest common factor 682,878 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 491/682, 850/878

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 491/682, 850/878?

Answer: LCM of Numerators as per given numbers 491/682, 850/878 is

LCM of Numerators i.e. for 491,850 is 417350

GCF of denominators i.e. for 682,878 is 2.

Thus, LCM of Fractions is 208675.Finally, LCM of Fractions for 491/682, 850/878 is 208675.