Least Common Multiple of 16/147, 344/248, 454/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/147, 344/248, 454/143 quickly i.e. 156176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/147, 344/248, 454/143 is 156176.

LCM(16/147, 344/248, 454/143) = 156176

LCM of 16/147, 344/248, 454/143

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 16/147,344/248,454/143

Given numbers are 16/147,344/248,454/143

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 16,344,454

Least Common Multiple of Numerators i.e. LCM of 16,344,454 is 156176.

GCF of Denominators means GCF of 147,248,143 as per the given fractions.

GCF of 147,248,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,344,454

LCM of Fractions 16/147,344/248,454/143 is 156176

2 16, 344, 454
2 8, 172, 227
2 4, 86, 227
2, 43, 227

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 227 = 156176

Least Common Multiple of 16,344,454 with GCF Formula

Least Common Multiple of 16,344,454 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 16,344,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,344,454) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(16,344,454) x common factors =2 x 8 = 16

LCM(16,344,454) = ( 16 × 344 × 454 ) / 16

LCM(16,344,454) = 2498816 / 16

LCM(16,344,454) = 156176


Lets's calculate GCF of 147,248,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156176/1

Therefore the LCM of Fractions 16/147,344/248,454/143 is 156176

Greatest Common Factor of 147,248,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,248,143 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 147,248,143 . The biggest common factor number is the GCF number.
So the greatest common factor 147,248,143 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 16/147, 344/248, 454/143

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 16/147, 344/248, 454/143?

Answer: LCM of Numerators as per given numbers 16/147, 344/248, 454/143 is

LCM of Numerators i.e. for 16,344,454 is 156176

GCF of denominators i.e. for 147,248,143 is 1.

Thus, LCM of Fractions is 156176.Finally, LCM of Fractions for 16/147, 344/248, 454/143 is 156176.