Least Common Multiple of 36/434, 488/30, 218/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/434, 488/30, 218/834 quickly i.e. 239364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/434, 488/30, 218/834 is 239364.

LCM(36/434, 488/30, 218/834) = 239364

LCM of 36/434, 488/30, 218/834

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 36/434,488/30,218/834

Given numbers are 36/434,488/30,218/834

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 36,488,218

Least Common Multiple of Numerators i.e. LCM of 36,488,218 is 478728.

GCF of Denominators means GCF of 434,30,834 as per the given fractions.

GCF of 434,30,834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,488,218

LCM of Fractions 36/434,488/30,218/834 is 239364

2 36, 488, 218
2 18, 244, 109
9, 122, 109

∴ So the LCM of the given numbers is 2 x 2 x 9 x 122 x 109 = 478728

Least Common Multiple of 36,488,218 with GCF Formula

Least Common Multiple of 36,488,218 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 36,488,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,488,218) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(36,488,218) x common factors =2 x 4 = 8

LCM(36,488,218) = ( 36 × 488 × 218 ) / 8

LCM(36,488,218) = 3829824 / 8

LCM(36,488,218) = 478728


Lets's calculate GCF of 434,30,834

2 434, 30, 834
217, 15, 417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478728/2

Therefore the LCM of Fractions 36/434,488/30,218/834 is 239364

Greatest Common Factor of 434,30,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,30,834 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

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 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 434,30,834 . The biggest common factor number is the GCF number.
So the greatest common factor 434,30,834 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 36/434, 488/30, 218/834

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 36/434, 488/30, 218/834?

Answer: LCM of Numerators as per given numbers 36/434, 488/30, 218/834 is

LCM of Numerators i.e. for 36,488,218 is 478728

GCF of denominators i.e. for 434,30,834 is 2.

Thus, LCM of Fractions is 239364.Finally, LCM of Fractions for 36/434, 488/30, 218/834 is 239364.