Least Common Multiple of 678/36, 803/93, 492/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/36, 803/93, 492/204 quickly i.e. 14881196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/36, 803/93, 492/204 is 14881196.

LCM(678/36, 803/93, 492/204) = 14881196

LCM of 678/36, 803/93, 492/204

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 678/36,803/93,492/204

Given numbers are 678/36,803/93,492/204

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 678,803,492

Least Common Multiple of Numerators i.e. LCM of 678,803,492 is 44643588.

GCF of Denominators means GCF of 36,93,204 as per the given fractions.

GCF of 36,93,204 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,803,492

LCM of Fractions 678/36,803/93,492/204 is 14881196

2 678, 803, 492
3 339, 803, 246
113, 803, 82

∴ So the LCM of the given numbers is 2 x 3 x 113 x 803 x 82 = 44643588

Least Common Multiple of 678,803,492 with GCF Formula

Least Common Multiple of 678,803,492 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 678,803,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,803,492) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(678,803,492) x common factors =1 x 6 = 6

LCM(678,803,492) = ( 678 × 803 × 492 ) / 6

LCM(678,803,492) = 267861528 / 6

LCM(678,803,492) = 44643588


Lets's calculate GCF of 36,93,204

3 36, 93, 204
12, 31, 68

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44643588/3

Therefore the LCM of Fractions 678/36,803/93,492/204 is 14881196

Greatest Common Factor of 36,93,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,93,204 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 36,93,204 . The biggest common factor number is the GCF number.
So the greatest common factor 36,93,204 is 3.


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 678/36, 803/93, 492/204

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 678/36, 803/93, 492/204?

Answer: LCM of Numerators as per given numbers 678/36, 803/93, 492/204 is

LCM of Numerators i.e. for 678,803,492 is 44643588

GCF of denominators i.e. for 36,93,204 is 3.

Thus, LCM of Fractions is 14881196.Finally, LCM of Fractions for 678/36, 803/93, 492/204 is 14881196.