Least Common Multiple of 4/10, 2/15, 57/42, 45/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/10, 2/15, 57/42, 45/667 quickly i.e. 3420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/10, 2/15, 57/42, 45/667 is 3420.

LCM(4/10, 2/15, 57/42, 45/667) = 3420

LCM of 4/10, 2/15, 57/42, 45/667

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 4/10,2/15,57/42,45/667

Given numbers are 4/10,2/15,57/42,45/667

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 4,2,57,45

Least Common Multiple of Numerators i.e. LCM of 4,2,57,45 is 3420.

GCF of Denominators means GCF of 10,15,42,667 as per the given fractions.

GCF of 10,15,42,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,2,57,45

LCM of Fractions 4/10,2/15,57/42,45/667 is 3420

2 4, 2, 57, 45
3 2, 1, 57, 45
2, 1, 19, 15

∴ So the LCM of the given numbers is 2 x 3 x 2 x 1 x 19 x 15 = 3420

Least Common Multiple of 4,2,57,45 with GCF Formula

Least Common Multiple of 4,2,57,45 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 4,2,57,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,2,57,45) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(4,2,57,45) x common factors =1 x 6 = 6

LCM(4,2,57,45) = ( 4 × 2 × 57 × 45 ) / 6

LCM(4,2,57,45) = 20520 / 6

LCM(4,2,57,45) = 3420


Lets's calculate GCF of 10,15,42,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3420/1

Therefore the LCM of Fractions 4/10,2/15,57/42,45/667 is 3420

Greatest Common Factor of 10,15,42,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,15,42,667 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 42

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

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

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 10,15,42,667 . The biggest common factor number is the GCF number.
So the greatest common factor 10,15,42,667 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 4/10, 2/15, 57/42, 45/667

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 4/10, 2/15, 57/42, 45/667?

Answer: LCM of Numerators as per given numbers 4/10, 2/15, 57/42, 45/667 is

LCM of Numerators i.e. for 4,2,57,45 is 3420

GCF of denominators i.e. for 10,15,42,667 is 1.

Thus, LCM of Fractions is 3420.Finally, LCM of Fractions for 4/10, 2/15, 57/42, 45/667 is 3420.