Least Common Multiple of 16/172, 35/883, 157/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/172, 35/883, 157/162 quickly i.e. 87920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/172, 35/883, 157/162 is 87920.

LCM(16/172, 35/883, 157/162) = 87920

LCM of 16/172, 35/883, 157/162

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 16/172,35/883,157/162

Given numbers are 16/172,35/883,157/162

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 16,35,157

Least Common Multiple of Numerators i.e. LCM of 16,35,157 is 87920.

GCF of Denominators means GCF of 172,883,162 as per the given fractions.

GCF of 172,883,162 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,35,157

LCM of Fractions 16/172,35/883,157/162 is 87920

Given numbers has no common factors except 1. So, there LCM is their product i.e 87920

Least Common Multiple of 16,35,157 with GCF Formula

Least Common Multiple of 16,35,157 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 16,35,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,35,157) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(16,35,157) x common factors =1 x 1 = 1

LCM(16,35,157) = ( 16 × 35 × 157 ) / 1

LCM(16,35,157) = 87920 / 1

LCM(16,35,157) = 87920


Lets's calculate GCF of 172,883,162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87920/1

Therefore the LCM of Fractions 16/172,35/883,157/162 is 87920

Greatest Common Factor of 172,883,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,883,162 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 172,883,162 . The biggest common factor number is the GCF number.
So the greatest common factor 172,883,162 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 16/172, 35/883, 157/162

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 16/172, 35/883, 157/162?

Answer: LCM of Numerators as per given numbers 16/172, 35/883, 157/162 is

LCM of Numerators i.e. for 16,35,157 is 87920

GCF of denominators i.e. for 172,883,162 is 1.

Thus, LCM of Fractions is 87920.Finally, LCM of Fractions for 16/172, 35/883, 157/162 is 87920.