Least Common Multiple of 74/668, 311/949, 273/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/668, 311/949, 273/524 quickly i.e. 6282822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/668, 311/949, 273/524 is 6282822.

LCM(74/668, 311/949, 273/524) = 6282822

LCM of 74/668, 311/949, 273/524

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 74/668,311/949,273/524

Given numbers are 74/668,311/949,273/524

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 74,311,273

Least Common Multiple of Numerators i.e. LCM of 74,311,273 is 6282822.

GCF of Denominators means GCF of 668,949,524 as per the given fractions.

GCF of 668,949,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,311,273

LCM of Fractions 74/668,311/949,273/524 is 6282822

Given numbers has no common factors except 1. So, there LCM is their product i.e 6282822

Least Common Multiple of 74,311,273 with GCF Formula

Least Common Multiple of 74,311,273 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 74,311,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,311,273) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(74,311,273) x common factors =1 x 1 = 1

LCM(74,311,273) = ( 74 × 311 × 273 ) / 1

LCM(74,311,273) = 6282822 / 1

LCM(74,311,273) = 6282822


Lets's calculate GCF of 668,949,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6282822/1

Therefore the LCM of Fractions 74/668,311/949,273/524 is 6282822

Greatest Common Factor of 668,949,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,949,524 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 668,949,524 . The biggest common factor number is the GCF number.
So the greatest common factor 668,949,524 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 74/668, 311/949, 273/524

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 74/668, 311/949, 273/524?

Answer: LCM of Numerators as per given numbers 74/668, 311/949, 273/524 is

LCM of Numerators i.e. for 74,311,273 is 6282822

GCF of denominators i.e. for 668,949,524 is 1.

Thus, LCM of Fractions is 6282822.Finally, LCM of Fractions for 74/668, 311/949, 273/524 is 6282822.