Least Common Multiple of 16/42, 662/46, 989/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/42, 662/46, 989/560 quickly i.e. 2618872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/42, 662/46, 989/560 is 2618872.

LCM(16/42, 662/46, 989/560) = 2618872

LCM of 16/42, 662/46, 989/560

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 16/42,662/46,989/560

Given numbers are 16/42,662/46,989/560

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 16,662,989

Least Common Multiple of Numerators i.e. LCM of 16,662,989 is 5237744.

GCF of Denominators means GCF of 42,46,560 as per the given fractions.

GCF of 42,46,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,662,989

LCM of Fractions 16/42,662/46,989/560 is 2618872

2 16, 662, 989
8, 331, 989

∴ So the LCM of the given numbers is 2 x 8 x 331 x 989 = 5237744

Least Common Multiple of 16,662,989 with GCF Formula

Least Common Multiple of 16,662,989 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 16,662,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,662,989) = 1

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

GCF(16,662,989) x common factors =1 x 2 = 2

LCM(16,662,989) = ( 16 × 662 × 989 ) / 2

LCM(16,662,989) = 10475488 / 2

LCM(16,662,989) = 5237744


Lets's calculate GCF of 42,46,560

2 42, 46, 560
21, 23, 280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5237744/2

Therefore the LCM of Fractions 16/42,662/46,989/560 is 2618872

Greatest Common Factor of 42,46,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,46,560 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 42,46,560 . The biggest common factor number is the GCF number.
So the greatest common factor 42,46,560 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 16/42, 662/46, 989/560

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 16/42, 662/46, 989/560?

Answer: LCM of Numerators as per given numbers 16/42, 662/46, 989/560 is

LCM of Numerators i.e. for 16,662,989 is 5237744

GCF of denominators i.e. for 42,46,560 is 2.

Thus, LCM of Fractions is 2618872.Finally, LCM of Fractions for 16/42, 662/46, 989/560 is 2618872.