Least Common Multiple of 855/682, 971/251, 812/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 855/682, 971/251, 812/421 quickly i.e. 674126460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 855/682, 971/251, 812/421 is 674126460.

LCM(855/682, 971/251, 812/421) = 674126460

LCM of 855/682, 971/251, 812/421

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 855/682,971/251,812/421

Given numbers are 855/682,971/251,812/421

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 855,971,812

Least Common Multiple of Numerators i.e. LCM of 855,971,812 is 674126460.

GCF of Denominators means GCF of 682,251,421 as per the given fractions.

GCF of 682,251,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 855,971,812

LCM of Fractions 855/682,971/251,812/421 is 674126460

Given numbers has no common factors except 1. So, there LCM is their product i.e 674126460

Least Common Multiple of 855,971,812 with GCF Formula

Least Common Multiple of 855,971,812 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 855,971,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,971,812) = 1

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

GCF(855,971,812) x common factors =1 x 1 = 1

LCM(855,971,812) = ( 855 × 971 × 812 ) / 1

LCM(855,971,812) = 674126460 / 1

LCM(855,971,812) = 674126460


Lets's calculate GCF of 682,251,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674126460/1

Therefore the LCM of Fractions 855/682,971/251,812/421 is 674126460

Greatest Common Factor of 682,251,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,251,421 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 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 682,251,421 . The biggest common factor number is the GCF number.
So the greatest common factor 682,251,421 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 855/682, 971/251, 812/421

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 855/682, 971/251, 812/421?

Answer: LCM of Numerators as per given numbers 855/682, 971/251, 812/421 is

LCM of Numerators i.e. for 855,971,812 is 674126460

GCF of denominators i.e. for 682,251,421 is 1.

Thus, LCM of Fractions is 674126460.Finally, LCM of Fractions for 855/682, 971/251, 812/421 is 674126460.