Least Common Multiple of 82/18, 656/74, 208/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/18, 656/74, 208/608 quickly i.e. 4264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/18, 656/74, 208/608 is 4264.

LCM(82/18, 656/74, 208/608) = 4264

LCM of 82/18, 656/74, 208/608

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 82/18,656/74,208/608

Given numbers are 82/18,656/74,208/608

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 82,656,208

Least Common Multiple of Numerators i.e. LCM of 82,656,208 is 8528.

GCF of Denominators means GCF of 18,74,608 as per the given fractions.

GCF of 18,74,608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,656,208

LCM of Fractions 82/18,656/74,208/608 is 4264

2 82, 656, 208
2 41, 328, 104
2 41, 164, 52
2 41, 82, 26
41 41, 41, 13
1, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 41 x 1 x 1 x 13 = 8528

Least Common Multiple of 82,656,208 with GCF Formula

Least Common Multiple of 82,656,208 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 82,656,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,656,208) = 2

common factors(in case of two or more numbers have common factors) = 656

GCF(82,656,208) x common factors =2 x 656 = 1312

LCM(82,656,208) = ( 82 × 656 × 208 ) / 1312

LCM(82,656,208) = 11188736 / 1312

LCM(82,656,208) = 8528


Lets's calculate GCF of 18,74,608

2 18, 74, 608
9, 37, 304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8528/2

Therefore the LCM of Fractions 82/18,656/74,208/608 is 4264

Greatest Common Factor of 18,74,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,74,608 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 18,74,608 . The biggest common factor number is the GCF number.
So the greatest common factor 18,74,608 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 82/18, 656/74, 208/608

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 82/18, 656/74, 208/608?

Answer: LCM of Numerators as per given numbers 82/18, 656/74, 208/608 is

LCM of Numerators i.e. for 82,656,208 is 8528

GCF of denominators i.e. for 18,74,608 is 2.

Thus, LCM of Fractions is 4264.Finally, LCM of Fractions for 82/18, 656/74, 208/608 is 4264.