Least Common Multiple of 38/15, 65/54, 278/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/15, 65/54, 278/557 quickly i.e. 343330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/15, 65/54, 278/557 is 343330.

LCM(38/15, 65/54, 278/557) = 343330

LCM of 38/15, 65/54, 278/557

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 38/15,65/54,278/557

Given numbers are 38/15,65/54,278/557

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 38,65,278

Least Common Multiple of Numerators i.e. LCM of 38,65,278 is 343330.

GCF of Denominators means GCF of 15,54,557 as per the given fractions.

GCF of 15,54,557 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,65,278

LCM of Fractions 38/15,65/54,278/557 is 343330

2 38, 65, 278
19, 65, 139

∴ So the LCM of the given numbers is 2 x 19 x 65 x 139 = 343330

Least Common Multiple of 38,65,278 with GCF Formula

Least Common Multiple of 38,65,278 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 38,65,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,65,278) = 1

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

GCF(38,65,278) x common factors =1 x 2 = 2

LCM(38,65,278) = ( 38 × 65 × 278 ) / 2

LCM(38,65,278) = 686660 / 2

LCM(38,65,278) = 343330


Lets's calculate GCF of 15,54,557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343330/1

Therefore the LCM of Fractions 38/15,65/54,278/557 is 343330

Greatest Common Factor of 15,54,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,54,557 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 15,54,557 . The biggest common factor number is the GCF number.
So the greatest common factor 15,54,557 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 38/15, 65/54, 278/557

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 38/15, 65/54, 278/557?

Answer: LCM of Numerators as per given numbers 38/15, 65/54, 278/557 is

LCM of Numerators i.e. for 38,65,278 is 343330

GCF of denominators i.e. for 15,54,557 is 1.

Thus, LCM of Fractions is 343330.Finally, LCM of Fractions for 38/15, 65/54, 278/557 is 343330.