Least Common Multiple of 660/82, 229/30, 851/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/82, 229/30, 851/64 quickly i.e. 64310070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/82, 229/30, 851/64 is 64310070.

LCM(660/82, 229/30, 851/64) = 64310070

LCM of 660/82, 229/30, 851/64

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 660/82,229/30,851/64

Given numbers are 660/82,229/30,851/64

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 660,229,851

Least Common Multiple of Numerators i.e. LCM of 660,229,851 is 128620140.

GCF of Denominators means GCF of 82,30,64 as per the given fractions.

GCF of 82,30,64 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,229,851

LCM of Fractions 660/82,229/30,851/64 is 64310070

Given numbers has no common factors except 1. So, there LCM is their product i.e 128620140

Least Common Multiple of 660,229,851 with GCF Formula

Least Common Multiple of 660,229,851 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 660,229,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,229,851) = 1

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

GCF(660,229,851) x common factors =1 x 1 = 1

LCM(660,229,851) = ( 660 × 229 × 851 ) / 1

LCM(660,229,851) = 128620140 / 1

LCM(660,229,851) = 128620140


Lets's calculate GCF of 82,30,64

2 82, 30, 64
41, 15, 32

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128620140/2

Therefore the LCM of Fractions 660/82,229/30,851/64 is 64310070

Greatest Common Factor of 82,30,64 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,30,64 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Greatest Common Factor

We found the factors 82,30,64 . The biggest common factor number is the GCF number.
So the greatest common factor 82,30,64 is 2.


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 660/82, 229/30, 851/64

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 660/82, 229/30, 851/64?

Answer: LCM of Numerators as per given numbers 660/82, 229/30, 851/64 is

LCM of Numerators i.e. for 660,229,851 is 128620140

GCF of denominators i.e. for 82,30,64 is 2.

Thus, LCM of Fractions is 64310070.Finally, LCM of Fractions for 660/82, 229/30, 851/64 is 64310070.