Least Common Multiple of 38/318, 21/872, 217/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/318, 21/872, 217/946 quickly i.e. 12369 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/318, 21/872, 217/946 is 12369.

LCM(38/318, 21/872, 217/946) = 12369

LCM of 38/318, 21/872, 217/946

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 38/318,21/872,217/946

Given numbers are 38/318,21/872,217/946

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 38,21,217

Least Common Multiple of Numerators i.e. LCM of 38,21,217 is 24738.

GCF of Denominators means GCF of 318,872,946 as per the given fractions.

GCF of 318,872,946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,21,217

LCM of Fractions 38/318,21/872,217/946 is 12369

7 38, 21, 217
38, 3, 31

∴ So the LCM of the given numbers is 7 x 38 x 3 x 31 = 24738

Least Common Multiple of 38,21,217 with GCF Formula

Least Common Multiple of 38,21,217 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 38,21,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,21,217) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(38,21,217) x common factors =1 x 7 = 7

LCM(38,21,217) = ( 38 × 21 × 217 ) / 7

LCM(38,21,217) = 173166 / 7

LCM(38,21,217) = 24738


Lets's calculate GCF of 318,872,946

2 318, 872, 946
159, 436, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24738/2

Therefore the LCM of Fractions 38/318,21/872,217/946 is 12369

Greatest Common Factor of 318,872,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,872,946 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 318,872,946 . The biggest common factor number is the GCF number.
So the greatest common factor 318,872,946 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 38/318, 21/872, 217/946

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 38/318, 21/872, 217/946?

Answer: LCM of Numerators as per given numbers 38/318, 21/872, 217/946 is

LCM of Numerators i.e. for 38,21,217 is 24738

GCF of denominators i.e. for 318,872,946 is 2.

Thus, LCM of Fractions is 12369.Finally, LCM of Fractions for 38/318, 21/872, 217/946 is 12369.