Least Common Multiple of 58/630, 13/292, 224/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/630, 13/292, 224/598 quickly i.e. 42224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/630, 13/292, 224/598 is 42224.

LCM(58/630, 13/292, 224/598) = 42224

LCM of 58/630, 13/292, 224/598

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 58/630,13/292,224/598

Given numbers are 58/630,13/292,224/598

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 58,13,224

Least Common Multiple of Numerators i.e. LCM of 58,13,224 is 84448.

GCF of Denominators means GCF of 630,292,598 as per the given fractions.

GCF of 630,292,598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,13,224

LCM of Fractions 58/630,13/292,224/598 is 42224

2 58, 13, 224
29, 13, 112

∴ So the LCM of the given numbers is 2 x 29 x 13 x 112 = 84448

Least Common Multiple of 58,13,224 with GCF Formula

Least Common Multiple of 58,13,224 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 58,13,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,13,224) = 1

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

GCF(58,13,224) x common factors =1 x 2 = 2

LCM(58,13,224) = ( 58 × 13 × 224 ) / 2

LCM(58,13,224) = 168896 / 2

LCM(58,13,224) = 84448


Lets's calculate GCF of 630,292,598

2 630, 292, 598
315, 146, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84448/2

Therefore the LCM of Fractions 58/630,13/292,224/598 is 42224

Greatest Common Factor of 630,292,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,292,598 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 630,292,598 . The biggest common factor number is the GCF number.
So the greatest common factor 630,292,598 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 58/630, 13/292, 224/598

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 58/630, 13/292, 224/598?

Answer: LCM of Numerators as per given numbers 58/630, 13/292, 224/598 is

LCM of Numerators i.e. for 58,13,224 is 84448

GCF of denominators i.e. for 630,292,598 is 2.

Thus, LCM of Fractions is 42224.Finally, LCM of Fractions for 58/630, 13/292, 224/598 is 42224.