Least Common Multiple of 875/211, 996/396, 419/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 875/211, 996/396, 419/680 quickly i.e. 365158500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 875/211, 996/396, 419/680 is 365158500.

LCM(875/211, 996/396, 419/680) = 365158500

LCM of 875/211, 996/396, 419/680

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 875/211,996/396,419/680

Given numbers are 875/211,996/396,419/680

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 875,996,419

Least Common Multiple of Numerators i.e. LCM of 875,996,419 is 365158500.

GCF of Denominators means GCF of 211,396,680 as per the given fractions.

GCF of 211,396,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 875,996,419

LCM of Fractions 875/211,996/396,419/680 is 365158500

Given numbers has no common factors except 1. So, there LCM is their product i.e 365158500

Least Common Multiple of 875,996,419 with GCF Formula

Least Common Multiple of 875,996,419 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 875,996,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,996,419) = 1

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

GCF(875,996,419) x common factors =1 x 1 = 1

LCM(875,996,419) = ( 875 × 996 × 419 ) / 1

LCM(875,996,419) = 365158500 / 1

LCM(875,996,419) = 365158500


Lets's calculate GCF of 211,396,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365158500/1

Therefore the LCM of Fractions 875/211,996/396,419/680 is 365158500

Greatest Common Factor of 211,396,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,396,680 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 211,396,680 . The biggest common factor number is the GCF number.
So the greatest common factor 211,396,680 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 875/211, 996/396, 419/680

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 875/211, 996/396, 419/680?

Answer: LCM of Numerators as per given numbers 875/211, 996/396, 419/680 is

LCM of Numerators i.e. for 875,996,419 is 365158500

GCF of denominators i.e. for 211,396,680 is 1.

Thus, LCM of Fractions is 365158500.Finally, LCM of Fractions for 875/211, 996/396, 419/680 is 365158500.