Least Common Multiple of 74/427, 42/917, 333/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/427, 42/917, 333/496 quickly i.e. 4662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/427, 42/917, 333/496 is 4662.

LCM(74/427, 42/917, 333/496) = 4662

LCM of 74/427, 42/917, 333/496

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 74/427,42/917,333/496

Given numbers are 74/427,42/917,333/496

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 74,42,333

Least Common Multiple of Numerators i.e. LCM of 74,42,333 is 4662.

GCF of Denominators means GCF of 427,917,496 as per the given fractions.

GCF of 427,917,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,42,333

LCM of Fractions 74/427,42/917,333/496 is 4662

2 74, 42, 333
3 37, 21, 333
37 37, 7, 111
1, 7, 3

∴ So the LCM of the given numbers is 2 x 3 x 37 x 1 x 7 x 3 = 4662

Least Common Multiple of 74,42,333 with GCF Formula

Least Common Multiple of 74,42,333 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 74,42,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,42,333) = 1

common factors(in case of two or more numbers have common factors) = 222

GCF(74,42,333) x common factors =1 x 222 = 222

LCM(74,42,333) = ( 74 × 42 × 333 ) / 222

LCM(74,42,333) = 1034964 / 222

LCM(74,42,333) = 4662


Lets's calculate GCF of 427,917,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4662/1

Therefore the LCM of Fractions 74/427,42/917,333/496 is 4662

Greatest Common Factor of 427,917,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,917,496 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 427,917,496 . The biggest common factor number is the GCF number.
So the greatest common factor 427,917,496 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 74/427, 42/917, 333/496

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 74/427, 42/917, 333/496?

Answer: LCM of Numerators as per given numbers 74/427, 42/917, 333/496 is

LCM of Numerators i.e. for 74,42,333 is 4662

GCF of denominators i.e. for 427,917,496 is 1.

Thus, LCM of Fractions is 4662.Finally, LCM of Fractions for 74/427, 42/917, 333/496 is 4662.