Least Common Multiple of 598/491, 633/566, 150/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 598/491, 633/566, 150/697 quickly i.e. 9463350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 598/491, 633/566, 150/697 is 9463350.

LCM(598/491, 633/566, 150/697) = 9463350

LCM of 598/491, 633/566, 150/697

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 598/491,633/566,150/697

Given numbers are 598/491,633/566,150/697

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 598,633,150

Least Common Multiple of Numerators i.e. LCM of 598,633,150 is 9463350.

GCF of Denominators means GCF of 491,566,697 as per the given fractions.

GCF of 491,566,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 598,633,150

LCM of Fractions 598/491,633/566,150/697 is 9463350

2 598, 633, 150
3 299, 633, 75
299, 211, 25

∴ So the LCM of the given numbers is 2 x 3 x 299 x 211 x 25 = 9463350

Least Common Multiple of 598,633,150 with GCF Formula

Least Common Multiple of 598,633,150 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 598,633,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,633,150) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(598,633,150) x common factors =1 x 6 = 6

LCM(598,633,150) = ( 598 × 633 × 150 ) / 6

LCM(598,633,150) = 56780100 / 6

LCM(598,633,150) = 9463350


Lets's calculate GCF of 491,566,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9463350/1

Therefore the LCM of Fractions 598/491,633/566,150/697 is 9463350

Greatest Common Factor of 491,566,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,566,697 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 491,566,697 . The biggest common factor number is the GCF number.
So the greatest common factor 491,566,697 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 598/491, 633/566, 150/697

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 598/491, 633/566, 150/697?

Answer: LCM of Numerators as per given numbers 598/491, 633/566, 150/697 is

LCM of Numerators i.e. for 598,633,150 is 9463350

GCF of denominators i.e. for 491,566,697 is 1.

Thus, LCM of Fractions is 9463350.Finally, LCM of Fractions for 598/491, 633/566, 150/697 is 9463350.