Least Common Multiple of 1712/159, 4664/4304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1712/159, 4664/4304 quickly i.e. 998096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1712/159, 4664/4304 is 998096.

LCM(1712/159, 4664/4304) = 998096

LCM of 1712/159, 4664/4304

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 1712/159,4664/4304

Given numbers are 1712/159,4664/4304

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 1712,4664

Least Common Multiple of Numerators i.e. LCM of 1712,4664 is 998096.

GCF of Denominators means GCF of 159,4304 as per the given fractions.

GCF of 159,4304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1712,4664

LCM of Fractions 1712/159,4664/4304 is 998096

2 1712, 4664
2 856, 2332
2 428, 1166
214, 583

∴ So the LCM of the given numbers is 2 x 2 x 2 x 214 x 583 = 998096

Least Common Multiple of 1712,4664 with GCF Formula

Least Common Multiple of 1712,4664 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 1712,4664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1712,4664) = 8

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

GCF(1712,4664) x common factors =8 x 1 = 8

LCM(1712,4664) = ( 1712 × 4664 ) / 8

LCM(1712,4664) = 7984768 / 8

LCM(1712,4664) = 998096


Lets's calculate GCF of 159,4304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 998096/1

Therefore the LCM of Fractions 1712/159,4664/4304 is 998096

Greatest Common Factor of 159,4304 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,4304 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 4304

List of positive integer factors of 4304 that divides 4304 without a remainder.

1,2,4,8,16,269,538,1076,2152,4304

Greatest Common Factor

We found the factors 159,4304 . The biggest common factor number is the GCF number.
So the greatest common factor 159,4304 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 1712/159, 4664/4304

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 1712/159, 4664/4304?

Answer: LCM of Numerators as per given numbers 1712/159, 4664/4304 is

LCM of Numerators i.e. for 1712,4664 is 998096

GCF of denominators i.e. for 159,4304 is 1.

Thus, LCM of Fractions is 998096.Finally, LCM of Fractions for 1712/159, 4664/4304 is 998096.