Least Common Multiple of 38/55, 39/35, 560/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/55, 39/35, 560/302 quickly i.e. 414960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/55, 39/35, 560/302 is 414960.

LCM(38/55, 39/35, 560/302) = 414960

LCM of 38/55, 39/35, 560/302

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 38/55,39/35,560/302

Given numbers are 38/55,39/35,560/302

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 38,39,560

Least Common Multiple of Numerators i.e. LCM of 38,39,560 is 414960.

GCF of Denominators means GCF of 55,35,302 as per the given fractions.

GCF of 55,35,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,39,560

LCM of Fractions 38/55,39/35,560/302 is 414960

2 38, 39, 560
19, 39, 280

∴ So the LCM of the given numbers is 2 x 19 x 39 x 280 = 414960

Least Common Multiple of 38,39,560 with GCF Formula

Least Common Multiple of 38,39,560 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 38,39,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,39,560) = 1

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

GCF(38,39,560) x common factors =1 x 2 = 2

LCM(38,39,560) = ( 38 × 39 × 560 ) / 2

LCM(38,39,560) = 829920 / 2

LCM(38,39,560) = 414960


Lets's calculate GCF of 55,35,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414960/1

Therefore the LCM of Fractions 38/55,39/35,560/302 is 414960

Greatest Common Factor of 55,35,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,35,302 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 55,35,302 . The biggest common factor number is the GCF number.
So the greatest common factor 55,35,302 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 38/55, 39/35, 560/302

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 38/55, 39/35, 560/302?

Answer: LCM of Numerators as per given numbers 38/55, 39/35, 560/302 is

LCM of Numerators i.e. for 38,39,560 is 414960

GCF of denominators i.e. for 55,35,302 is 1.

Thus, LCM of Fractions is 414960.Finally, LCM of Fractions for 38/55, 39/35, 560/302 is 414960.