Least Common Multiple of 16/28, 392/13, 240/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/28, 392/13, 240/742 quickly i.e. 11760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/28, 392/13, 240/742 is 11760.

LCM(16/28, 392/13, 240/742) = 11760

LCM of 16/28, 392/13, 240/742

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 16/28,392/13,240/742

Given numbers are 16/28,392/13,240/742

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 16,392,240

Least Common Multiple of Numerators i.e. LCM of 16,392,240 is 11760.

GCF of Denominators means GCF of 28,13,742 as per the given fractions.

GCF of 28,13,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,392,240

LCM of Fractions 16/28,392/13,240/742 is 11760

2 16, 392, 240
2 8, 196, 120
2 4, 98, 60
2 2, 49, 30
1, 49, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 49 x 15 = 11760

Least Common Multiple of 16,392,240 with GCF Formula

Least Common Multiple of 16,392,240 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 16,392,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,392,240) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(16,392,240) x common factors =8 x 16 = 128

LCM(16,392,240) = ( 16 × 392 × 240 ) / 128

LCM(16,392,240) = 1505280 / 128

LCM(16,392,240) = 11760


Lets's calculate GCF of 28,13,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11760/1

Therefore the LCM of Fractions 16/28,392/13,240/742 is 11760

Greatest Common Factor of 28,13,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,13,742 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 28,13,742 . The biggest common factor number is the GCF number.
So the greatest common factor 28,13,742 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 16/28, 392/13, 240/742

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 16/28, 392/13, 240/742?

Answer: LCM of Numerators as per given numbers 16/28, 392/13, 240/742 is

LCM of Numerators i.e. for 16,392,240 is 11760

GCF of denominators i.e. for 28,13,742 is 1.

Thus, LCM of Fractions is 11760.Finally, LCM of Fractions for 16/28, 392/13, 240/742 is 11760.