Least Common Multiple of 632/361, 113/741, 598/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 632/361, 113/741, 598/458 quickly i.e. 21353384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 632/361, 113/741, 598/458 is 21353384.

LCM(632/361, 113/741, 598/458) = 21353384

LCM of 632/361, 113/741, 598/458

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 632/361,113/741,598/458

Given numbers are 632/361,113/741,598/458

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 632,113,598

Least Common Multiple of Numerators i.e. LCM of 632,113,598 is 21353384.

GCF of Denominators means GCF of 361,741,458 as per the given fractions.

GCF of 361,741,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 632,113,598

LCM of Fractions 632/361,113/741,598/458 is 21353384

2 632, 113, 598
316, 113, 299

∴ So the LCM of the given numbers is 2 x 316 x 113 x 299 = 21353384

Least Common Multiple of 632,113,598 with GCF Formula

Least Common Multiple of 632,113,598 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 632,113,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,113,598) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(632,113,598) x common factors =1 x 2 = 2

LCM(632,113,598) = ( 632 × 113 × 598 ) / 2

LCM(632,113,598) = 42706768 / 2

LCM(632,113,598) = 21353384


Lets's calculate GCF of 361,741,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21353384/1

Therefore the LCM of Fractions 632/361,113/741,598/458 is 21353384

Greatest Common Factor of 361,741,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,741,458 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 361,741,458 . The biggest common factor number is the GCF number.
So the greatest common factor 361,741,458 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 632/361, 113/741, 598/458

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 632/361, 113/741, 598/458?

Answer: LCM of Numerators as per given numbers 632/361, 113/741, 598/458 is

LCM of Numerators i.e. for 632,113,598 is 21353384

GCF of denominators i.e. for 361,741,458 is 1.

Thus, LCM of Fractions is 21353384.Finally, LCM of Fractions for 632/361, 113/741, 598/458 is 21353384.