Least Common Multiple of 10/159, 160/603, 160/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/159, 160/603, 160/896 quickly i.e. 160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/159, 160/603, 160/896 is 160.

LCM(10/159, 160/603, 160/896) = 160

LCM of 10/159, 160/603, 160/896

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 10/159,160/603,160/896

Given numbers are 10/159,160/603,160/896

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 10,160,160

Least Common Multiple of Numerators i.e. LCM of 10,160,160 is 160.

GCF of Denominators means GCF of 159,603,896 as per the given fractions.

GCF of 159,603,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,160,160

LCM of Fractions 10/159,160/603,160/896 is 160

2 10, 160, 160
2 5, 80, 80
2 5, 40, 40
2 5, 20, 20
2 5, 10, 10
5 5, 5, 5
1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 1 x 1 x 1 = 160

Least Common Multiple of 10,160,160 with GCF Formula

Least Common Multiple of 10,160,160 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 10,160,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,160,160) = 10

common factors(in case of two or more numbers have common factors) = 160

GCF(10,160,160) x common factors =10 x 160 = 1600

LCM(10,160,160) = ( 10 × 160 × 160 ) / 1600

LCM(10,160,160) = 256000 / 1600

LCM(10,160,160) = 160


Lets's calculate GCF of 159,603,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160/1

Therefore the LCM of Fractions 10/159,160/603,160/896 is 160

Greatest Common Factor of 159,603,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,603,896 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 159,603,896 . The biggest common factor number is the GCF number.
So the greatest common factor 159,603,896 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/159, 160/603, 160/896

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 10/159, 160/603, 160/896?

Answer: LCM of Numerators as per given numbers 10/159, 160/603, 160/896 is

LCM of Numerators i.e. for 10,160,160 is 160

GCF of denominators i.e. for 159,603,896 is 1.

Thus, LCM of Fractions is 160.Finally, LCM of Fractions for 10/159, 160/603, 160/896 is 160.