Least Common Multiple of 85/12, 213/66, 251/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/12, 213/66, 251/219 quickly i.e. 1514785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/12, 213/66, 251/219 is 1514785.

LCM(85/12, 213/66, 251/219) = 1514785

LCM of 85/12, 213/66, 251/219

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 85/12,213/66,251/219

Given numbers are 85/12,213/66,251/219

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 85,213,251

Least Common Multiple of Numerators i.e. LCM of 85,213,251 is 4544355.

GCF of Denominators means GCF of 12,66,219 as per the given fractions.

GCF of 12,66,219 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,213,251

LCM of Fractions 85/12,213/66,251/219 is 1514785

Given numbers has no common factors except 1. So, there LCM is their product i.e 4544355

Least Common Multiple of 85,213,251 with GCF Formula

Least Common Multiple of 85,213,251 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 85,213,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,213,251) = 1

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

GCF(85,213,251) x common factors =1 x 1 = 1

LCM(85,213,251) = ( 85 × 213 × 251 ) / 1

LCM(85,213,251) = 4544355 / 1

LCM(85,213,251) = 4544355


Lets's calculate GCF of 12,66,219

3 12, 66, 219
4, 22, 73

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4544355/3

Therefore the LCM of Fractions 85/12,213/66,251/219 is 1514785

Greatest Common Factor of 12,66,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,66,219 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 12,66,219 . The biggest common factor number is the GCF number.
So the greatest common factor 12,66,219 is 3.


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 85/12, 213/66, 251/219

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 85/12, 213/66, 251/219?

Answer: LCM of Numerators as per given numbers 85/12, 213/66, 251/219 is

LCM of Numerators i.e. for 85,213,251 is 4544355

GCF of denominators i.e. for 12,66,219 is 3.

Thus, LCM of Fractions is 1514785.Finally, LCM of Fractions for 85/12, 213/66, 251/219 is 1514785.