Least Common Multiple of 40/420, 38/918, 615/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/420, 38/918, 615/106 quickly i.e. 46740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/420, 38/918, 615/106 is 46740.

LCM(40/420, 38/918, 615/106) = 46740

LCM of 40/420, 38/918, 615/106

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 40/420,38/918,615/106

Given numbers are 40/420,38/918,615/106

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 40,38,615

Least Common Multiple of Numerators i.e. LCM of 40,38,615 is 93480.

GCF of Denominators means GCF of 420,918,106 as per the given fractions.

GCF of 420,918,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,38,615

LCM of Fractions 40/420,38/918,615/106 is 46740

2 40, 38, 615
5 20, 19, 615
4, 19, 123

∴ So the LCM of the given numbers is 2 x 5 x 4 x 19 x 123 = 93480

Least Common Multiple of 40,38,615 with GCF Formula

Least Common Multiple of 40,38,615 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 40,38,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,38,615) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(40,38,615) x common factors =1 x 10 = 10

LCM(40,38,615) = ( 40 × 38 × 615 ) / 10

LCM(40,38,615) = 934800 / 10

LCM(40,38,615) = 93480


Lets's calculate GCF of 420,918,106

2 420, 918, 106
210, 459, 53

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93480/2

Therefore the LCM of Fractions 40/420,38/918,615/106 is 46740

Greatest Common Factor of 420,918,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,918,106 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 420,918,106 . The biggest common factor number is the GCF number.
So the greatest common factor 420,918,106 is 2.


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 40/420, 38/918, 615/106

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 40/420, 38/918, 615/106?

Answer: LCM of Numerators as per given numbers 40/420, 38/918, 615/106 is

LCM of Numerators i.e. for 40,38,615 is 93480

GCF of denominators i.e. for 420,918,106 is 2.

Thus, LCM of Fractions is 46740.Finally, LCM of Fractions for 40/420, 38/918, 615/106 is 46740.