Least Common Multiple of 4321/742, 1616/4659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4321/742, 1616/4659 quickly i.e. 6982736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4321/742, 1616/4659 is 6982736.

LCM(4321/742, 1616/4659) = 6982736

LCM of 4321/742, 1616/4659

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 4321/742,1616/4659

Given numbers are 4321/742,1616/4659

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 4321,1616

Least Common Multiple of Numerators i.e. LCM of 4321,1616 is 6982736.

GCF of Denominators means GCF of 742,4659 as per the given fractions.

GCF of 742,4659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4321,1616

LCM of Fractions 4321/742,1616/4659 is 6982736

Given numbers has no common factors except 1. So, there LCM is their product i.e 6982736

Least Common Multiple of 4321,1616 with GCF Formula

Least Common Multiple of 4321,1616 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 4321,1616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4321,1616) = 1

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

GCF(4321,1616) x common factors =1 x 1 = 1

LCM(4321,1616) = ( 4321 × 1616 ) / 1

LCM(4321,1616) = 6982736 / 1

LCM(4321,1616) = 6982736


Lets's calculate GCF of 742,4659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6982736/1

Therefore the LCM of Fractions 4321/742,1616/4659 is 6982736

Greatest Common Factor of 742,4659 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,4659 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 4659

List of positive integer factors of 4659 that divides 4659 without a remainder.

1,3,1553,4659

Greatest Common Factor

We found the factors 742,4659 . The biggest common factor number is the GCF number.
So the greatest common factor 742,4659 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 4321/742, 1616/4659

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 4321/742, 1616/4659?

Answer: LCM of Numerators as per given numbers 4321/742, 1616/4659 is

LCM of Numerators i.e. for 4321,1616 is 6982736

GCF of denominators i.e. for 742,4659 is 1.

Thus, LCM of Fractions is 6982736.Finally, LCM of Fractions for 4321/742, 1616/4659 is 6982736.