Least Common Multiple of 86/636, 653/426, 184/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/636, 653/426, 184/306 quickly i.e. 5166536/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/636, 653/426, 184/306 is 5166536/6.

LCM(86/636, 653/426, 184/306) = 5166536/6

LCM of 86/636, 653/426, 184/306

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 86/636,653/426,184/306

Given numbers are 86/636,653/426,184/306

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 86,653,184

Least Common Multiple of Numerators i.e. LCM of 86,653,184 is 5166536.

GCF of Denominators means GCF of 636,426,306 as per the given fractions.

GCF of 636,426,306 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,653,184

LCM of Fractions 86/636,653/426,184/306 is 5166536/6

2 86, 653, 184
43, 653, 92

∴ So the LCM of the given numbers is 2 x 43 x 653 x 92 = 5166536

Least Common Multiple of 86,653,184 with GCF Formula

Least Common Multiple of 86,653,184 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 86,653,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,653,184) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,653,184) x common factors =1 x 2 = 2

LCM(86,653,184) = ( 86 × 653 × 184 ) / 2

LCM(86,653,184) = 10333072 / 2

LCM(86,653,184) = 5166536


Lets's calculate GCF of 636,426,306

2 636, 426, 306
3 318, 213, 153
106, 71, 51

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5166536/6

Therefore the LCM of Fractions 86/636,653/426,184/306 is 5166536/6

Greatest Common Factor of 636,426,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,426,306 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 636,426,306 . The biggest common factor number is the GCF number.
So the greatest common factor 636,426,306 is 6.


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 86/636, 653/426, 184/306

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 86/636, 653/426, 184/306?

Answer: LCM of Numerators as per given numbers 86/636, 653/426, 184/306 is

LCM of Numerators i.e. for 86,653,184 is 5166536

GCF of denominators i.e. for 636,426,306 is 6.

Thus, LCM of Fractions is 5166536/6.Finally, LCM of Fractions for 86/636, 653/426, 184/306 is 5166536/6.