Least Common Multiple of 64/84, 57/91, 85/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/84, 57/91, 85/216 quickly i.e. 310080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/84, 57/91, 85/216 is 310080.

LCM(64/84, 57/91, 85/216) = 310080

LCM of 64/84, 57/91, 85/216

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 64/84,57/91,85/216

Given numbers are 64/84,57/91,85/216

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 64,57,85

Least Common Multiple of Numerators i.e. LCM of 64,57,85 is 310080.

GCF of Denominators means GCF of 84,91,216 as per the given fractions.

GCF of 84,91,216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,57,85

LCM of Fractions 64/84,57/91,85/216 is 310080

Given numbers has no common factors except 1. So, there LCM is their product i.e 310080

Least Common Multiple of 64,57,85 with GCF Formula

Least Common Multiple of 64,57,85 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 64,57,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,57,85) = 1

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

GCF(64,57,85) x common factors =1 x 1 = 1

LCM(64,57,85) = ( 64 × 57 × 85 ) / 1

LCM(64,57,85) = 310080 / 1

LCM(64,57,85) = 310080


Lets's calculate GCF of 84,91,216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310080/1

Therefore the LCM of Fractions 64/84,57/91,85/216 is 310080

Greatest Common Factor of 84,91,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,91,216 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 84,91,216 . The biggest common factor number is the GCF number.
So the greatest common factor 84,91,216 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 64/84, 57/91, 85/216

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 64/84, 57/91, 85/216?

Answer: LCM of Numerators as per given numbers 64/84, 57/91, 85/216 is

LCM of Numerators i.e. for 64,57,85 is 310080

GCF of denominators i.e. for 84,91,216 is 1.

Thus, LCM of Fractions is 310080.Finally, LCM of Fractions for 64/84, 57/91, 85/216 is 310080.