Least Common Multiple of 308/72, 486/66, 217/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/72, 486/66, 217/236 quickly i.e. 1160082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/72, 486/66, 217/236 is 1160082.

LCM(308/72, 486/66, 217/236) = 1160082

LCM of 308/72, 486/66, 217/236

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 308/72,486/66,217/236

Given numbers are 308/72,486/66,217/236

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 308,486,217

Least Common Multiple of Numerators i.e. LCM of 308,486,217 is 2320164.

GCF of Denominators means GCF of 72,66,236 as per the given fractions.

GCF of 72,66,236 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,486,217

LCM of Fractions 308/72,486/66,217/236 is 1160082

2 308, 486, 217
7 154, 243, 217
22, 243, 31

∴ So the LCM of the given numbers is 2 x 7 x 22 x 243 x 31 = 2320164

Least Common Multiple of 308,486,217 with GCF Formula

Least Common Multiple of 308,486,217 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 308,486,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,486,217) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(308,486,217) x common factors =1 x 14 = 14

LCM(308,486,217) = ( 308 × 486 × 217 ) / 14

LCM(308,486,217) = 32482296 / 14

LCM(308,486,217) = 2320164


Lets's calculate GCF of 72,66,236

2 72, 66, 236
36, 33, 118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2320164/2

Therefore the LCM of Fractions 308/72,486/66,217/236 is 1160082

Greatest Common Factor of 72,66,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,66,236 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 72,66,236 . The biggest common factor number is the GCF number.
So the greatest common factor 72,66,236 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 308/72, 486/66, 217/236

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 308/72, 486/66, 217/236?

Answer: LCM of Numerators as per given numbers 308/72, 486/66, 217/236 is

LCM of Numerators i.e. for 308,486,217 is 2320164

GCF of denominators i.e. for 72,66,236 is 2.

Thus, LCM of Fractions is 1160082.Finally, LCM of Fractions for 308/72, 486/66, 217/236 is 1160082.