Least Common Multiple of 74/493, 67/719, 178/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/493, 67/719, 178/558 quickly i.e. 441262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/493, 67/719, 178/558 is 441262.

LCM(74/493, 67/719, 178/558) = 441262

LCM of 74/493, 67/719, 178/558

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 74/493,67/719,178/558

Given numbers are 74/493,67/719,178/558

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 74,67,178

Least Common Multiple of Numerators i.e. LCM of 74,67,178 is 441262.

GCF of Denominators means GCF of 493,719,558 as per the given fractions.

GCF of 493,719,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,67,178

LCM of Fractions 74/493,67/719,178/558 is 441262

2 74, 67, 178
37, 67, 89

∴ So the LCM of the given numbers is 2 x 37 x 67 x 89 = 441262

Least Common Multiple of 74,67,178 with GCF Formula

Least Common Multiple of 74,67,178 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 74,67,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,67,178) = 1

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

GCF(74,67,178) x common factors =1 x 2 = 2

LCM(74,67,178) = ( 74 × 67 × 178 ) / 2

LCM(74,67,178) = 882524 / 2

LCM(74,67,178) = 441262


Lets's calculate GCF of 493,719,558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441262/1

Therefore the LCM of Fractions 74/493,67/719,178/558 is 441262

Greatest Common Factor of 493,719,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,719,558 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

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

Greatest Common Factor

We found the factors 493,719,558 . The biggest common factor number is the GCF number.
So the greatest common factor 493,719,558 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 74/493, 67/719, 178/558

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 74/493, 67/719, 178/558?

Answer: LCM of Numerators as per given numbers 74/493, 67/719, 178/558 is

LCM of Numerators i.e. for 74,67,178 is 441262

GCF of denominators i.e. for 493,719,558 is 1.

Thus, LCM of Fractions is 441262.Finally, LCM of Fractions for 74/493, 67/719, 178/558 is 441262.