Least Common Multiple of 668/23, 496/32, 577/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 668/23, 496/32, 577/42 quickly i.e. 47794064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/23, 496/32, 577/42 is 47794064.

LCM(668/23, 496/32, 577/42) = 47794064

LCM of 668/23, 496/32, 577/42

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 668/23,496/32,577/42

Given numbers are 668/23,496/32,577/42

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 668,496,577

Least Common Multiple of Numerators i.e. LCM of 668,496,577 is 47794064.

GCF of Denominators means GCF of 23,32,42 as per the given fractions.

GCF of 23,32,42 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,496,577

LCM of Fractions 668/23,496/32,577/42 is 47794064

2 668, 496, 577
2 334, 248, 577
167, 124, 577

∴ So the LCM of the given numbers is 2 x 2 x 167 x 124 x 577 = 47794064

Least Common Multiple of 668,496,577 with GCF Formula

Least Common Multiple of 668,496,577 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 668,496,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,496,577) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(668,496,577) x common factors =1 x 4 = 4

LCM(668,496,577) = ( 668 × 496 × 577 ) / 4

LCM(668,496,577) = 191176256 / 4

LCM(668,496,577) = 47794064


Lets's calculate GCF of 23,32,42

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47794064/1

Therefore the LCM of Fractions 668/23,496/32,577/42 is 47794064

Greatest Common Factor of 23,32,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,32,42 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 23,32,42 . The biggest common factor number is the GCF number.
So the greatest common factor 23,32,42 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 668/23, 496/32, 577/42

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 668/23, 496/32, 577/42?

Answer: LCM of Numerators as per given numbers 668/23, 496/32, 577/42 is

LCM of Numerators i.e. for 668,496,577 is 47794064

GCF of denominators i.e. for 23,32,42 is 1.

Thus, LCM of Fractions is 47794064.Finally, LCM of Fractions for 668/23, 496/32, 577/42 is 47794064.