Least Common Multiple of 67/558, 44/482, 430/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/558, 44/482, 430/598 quickly i.e. 316910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/558, 44/482, 430/598 is 316910.

LCM(67/558, 44/482, 430/598) = 316910

LCM of 67/558, 44/482, 430/598

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 67/558,44/482,430/598

Given numbers are 67/558,44/482,430/598

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 67,44,430

Least Common Multiple of Numerators i.e. LCM of 67,44,430 is 633820.

GCF of Denominators means GCF of 558,482,598 as per the given fractions.

GCF of 558,482,598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,44,430

LCM of Fractions 67/558,44/482,430/598 is 316910

2 67, 44, 430
67, 22, 215

∴ So the LCM of the given numbers is 2 x 67 x 22 x 215 = 633820

Least Common Multiple of 67,44,430 with GCF Formula

Least Common Multiple of 67,44,430 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 67,44,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,44,430) = 1

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

GCF(67,44,430) x common factors =1 x 2 = 2

LCM(67,44,430) = ( 67 × 44 × 430 ) / 2

LCM(67,44,430) = 1267640 / 2

LCM(67,44,430) = 633820


Lets's calculate GCF of 558,482,598

2 558, 482, 598
279, 241, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 633820/2

Therefore the LCM of Fractions 67/558,44/482,430/598 is 316910

Greatest Common Factor of 558,482,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,482,598 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

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 558,482,598 . The biggest common factor number is the GCF number.
So the greatest common factor 558,482,598 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 67/558, 44/482, 430/598

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 67/558, 44/482, 430/598?

Answer: LCM of Numerators as per given numbers 67/558, 44/482, 430/598 is

LCM of Numerators i.e. for 67,44,430 is 633820

GCF of denominators i.e. for 558,482,598 is 2.

Thus, LCM of Fractions is 316910.Finally, LCM of Fractions for 67/558, 44/482, 430/598 is 316910.