Least Common Multiple of 85/409, 350/215, 204/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/409, 350/215, 204/997 quickly i.e. 35700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/409, 350/215, 204/997 is 35700.

LCM(85/409, 350/215, 204/997) = 35700

LCM of 85/409, 350/215, 204/997

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 85/409,350/215,204/997

Given numbers are 85/409,350/215,204/997

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 85,350,204

Least Common Multiple of Numerators i.e. LCM of 85,350,204 is 35700.

GCF of Denominators means GCF of 409,215,997 as per the given fractions.

GCF of 409,215,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,350,204

LCM of Fractions 85/409,350/215,204/997 is 35700

2 85, 350, 204
5 85, 175, 102
17 17, 35, 102
1, 35, 6

∴ So the LCM of the given numbers is 2 x 5 x 17 x 1 x 35 x 6 = 35700

Least Common Multiple of 85,350,204 with GCF Formula

Least Common Multiple of 85,350,204 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 85,350,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,350,204) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(85,350,204) x common factors =1 x 170 = 170

LCM(85,350,204) = ( 85 × 350 × 204 ) / 170

LCM(85,350,204) = 6069000 / 170

LCM(85,350,204) = 35700


Lets's calculate GCF of 409,215,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35700/1

Therefore the LCM of Fractions 85/409,350/215,204/997 is 35700

Greatest Common Factor of 409,215,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,215,997 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 409,215,997 . The biggest common factor number is the GCF number.
So the greatest common factor 409,215,997 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 85/409, 350/215, 204/997

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 85/409, 350/215, 204/997?

Answer: LCM of Numerators as per given numbers 85/409, 350/215, 204/997 is

LCM of Numerators i.e. for 85,350,204 is 35700

GCF of denominators i.e. for 409,215,997 is 1.

Thus, LCM of Fractions is 35700.Finally, LCM of Fractions for 85/409, 350/215, 204/997 is 35700.