Least Common Multiple of 211/85, 1411/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 211/85, 1411/695 quickly i.e. 297721/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 211/85, 1411/695 is 297721/5.

LCM(211/85, 1411/695) = 297721/5

LCM of 211/85, 1411/695

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 211/85,1411/695

Given numbers are 211/85,1411/695

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 211,1411

Least Common Multiple of Numerators i.e. LCM of 211,1411 is 297721.

GCF of Denominators means GCF of 85,695 as per the given fractions.

GCF of 85,695 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 211,1411

LCM of Fractions 211/85,1411/695 is 297721/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 297721

Least Common Multiple of 211,1411 with GCF Formula

Least Common Multiple of 211,1411 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 211,1411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,1411) = 1

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

GCF(211,1411) x common factors =1 x 1 = 1

LCM(211,1411) = ( 211 × 1411 ) / 1

LCM(211,1411) = 297721 / 1

LCM(211,1411) = 297721


Lets's calculate GCF of 85,695

5 85, 695
17, 139

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297721/5

Therefore the LCM of Fractions 211/85,1411/695 is 297721/5

Greatest Common Factor of 85,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,695 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 85,695 . The biggest common factor number is the GCF number.
So the greatest common factor 85,695 is 5.


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 211/85, 1411/695

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 211/85, 1411/695?

Answer: LCM of Numerators as per given numbers 211/85, 1411/695 is

LCM of Numerators i.e. for 211,1411 is 297721

GCF of denominators i.e. for 85,695 is 5.

Thus, LCM of Fractions is 297721/5.Finally, LCM of Fractions for 211/85, 1411/695 is 297721/5.