Least Common Multiple of 38/918, 16/609, 356/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/918, 16/609, 356/905 quickly i.e. 27056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/918, 16/609, 356/905 is 27056.

LCM(38/918, 16/609, 356/905) = 27056

LCM of 38/918, 16/609, 356/905

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 38/918,16/609,356/905

Given numbers are 38/918,16/609,356/905

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 38,16,356

Least Common Multiple of Numerators i.e. LCM of 38,16,356 is 27056.

GCF of Denominators means GCF of 918,609,905 as per the given fractions.

GCF of 918,609,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,16,356

LCM of Fractions 38/918,16/609,356/905 is 27056

2 38, 16, 356
2 19, 8, 178
19, 4, 89

∴ So the LCM of the given numbers is 2 x 2 x 19 x 4 x 89 = 27056

Least Common Multiple of 38,16,356 with GCF Formula

Least Common Multiple of 38,16,356 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 38,16,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,16,356) = 2

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

GCF(38,16,356) x common factors =2 x 4 = 8

LCM(38,16,356) = ( 38 × 16 × 356 ) / 8

LCM(38,16,356) = 216448 / 8

LCM(38,16,356) = 27056


Lets's calculate GCF of 918,609,905

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27056/1

Therefore the LCM of Fractions 38/918,16/609,356/905 is 27056

Greatest Common Factor of 918,609,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,609,905 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 918,609,905 . The biggest common factor number is the GCF number.
So the greatest common factor 918,609,905 is 1.


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 38/918, 16/609, 356/905

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 38/918, 16/609, 356/905?

Answer: LCM of Numerators as per given numbers 38/918, 16/609, 356/905 is

LCM of Numerators i.e. for 38,16,356 is 27056

GCF of denominators i.e. for 918,609,905 is 1.

Thus, LCM of Fractions is 27056.Finally, LCM of Fractions for 38/918, 16/609, 356/905 is 27056.