Least Common Multiple of 598/14, 782/4666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 598/14, 782/4666 quickly i.e. 5083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 598/14, 782/4666 is 5083.

LCM(598/14, 782/4666) = 5083

LCM of 598/14, 782/4666

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 598/14,782/4666

Given numbers are 598/14,782/4666

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 598,782

Least Common Multiple of Numerators i.e. LCM of 598,782 is 10166.

GCF of Denominators means GCF of 14,4666 as per the given fractions.

GCF of 14,4666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 598,782

LCM of Fractions 598/14,782/4666 is 5083

2 598, 782
23 299, 391
13, 17

∴ So the LCM of the given numbers is 2 x 23 x 13 x 17 = 10166

Least Common Multiple of 598,782 with GCF Formula

Least Common Multiple of 598,782 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 598,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,782) = 46

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

GCF(598,782) x common factors =46 x 1 = 46

LCM(598,782) = ( 598 × 782 ) / 46

LCM(598,782) = 467636 / 46

LCM(598,782) = 10166


Lets's calculate GCF of 14,4666

2 14, 4666
7, 2333

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10166/2

Therefore the LCM of Fractions 598/14,782/4666 is 5083

Greatest Common Factor of 14,4666 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,4666 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 4666

List of positive integer factors of 4666 that divides 4666 without a remainder.

1,2,2333,4666

Greatest Common Factor

We found the factors 14,4666 . The biggest common factor number is the GCF number.
So the greatest common factor 14,4666 is 2.


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 598/14, 782/4666

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 598/14, 782/4666?

Answer: LCM of Numerators as per given numbers 598/14, 782/4666 is

LCM of Numerators i.e. for 598,782 is 10166

GCF of denominators i.e. for 14,4666 is 2.

Thus, LCM of Fractions is 5083.Finally, LCM of Fractions for 598/14, 782/4666 is 5083.