Least Common Multiple of 15/40, 69/39, 15/45, 46/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/40, 69/39, 15/45, 46/676 quickly i.e. 690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/40, 69/39, 15/45, 46/676 is 690.

LCM(15/40, 69/39, 15/45, 46/676) = 690

LCM of 15/40, 69/39, 15/45, 46/676

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 15/40,69/39,15/45,46/676

Given numbers are 15/40,69/39,15/45,46/676

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 15,69,15,46

Least Common Multiple of Numerators i.e. LCM of 15,69,15,46 is 690.

GCF of Denominators means GCF of 40,39,45,676 as per the given fractions.

GCF of 40,39,45,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,69,15,46

LCM of Fractions 15/40,69/39,15/45,46/676 is 690

3 15, 69, 15, 46
5 5, 23, 5, 46
23 1, 23, 1, 46
1, 1, 1, 2

∴ So the LCM of the given numbers is 3 x 5 x 23 x 1 x 1 x 1 x 2 = 690

Least Common Multiple of 15,69,15,46 with GCF Formula

Least Common Multiple of 15,69,15,46 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 15,69,15,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,69,15,46) = 1

common factors(in case of two or more numbers have common factors) = 1035

GCF(15,69,15,46) x common factors =1 x 1035 = 1035

LCM(15,69,15,46) = ( 15 × 69 × 15 × 46 ) / 1035

LCM(15,69,15,46) = 714150 / 1035

LCM(15,69,15,46) = 690


Lets's calculate GCF of 40,39,45,676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690/1

Therefore the LCM of Fractions 15/40,69/39,15/45,46/676 is 690

Greatest Common Factor of 40,39,45,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,39,45,676 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 40,39,45,676 . The biggest common factor number is the GCF number.
So the greatest common factor 40,39,45,676 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 15/40, 69/39, 15/45, 46/676

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 15/40, 69/39, 15/45, 46/676?

Answer: LCM of Numerators as per given numbers 15/40, 69/39, 15/45, 46/676 is

LCM of Numerators i.e. for 15,69,15,46 is 690

GCF of denominators i.e. for 40,39,45,676 is 1.

Thus, LCM of Fractions is 690.Finally, LCM of Fractions for 15/40, 69/39, 15/45, 46/676 is 690.