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LCM of 387, 464, 148, 618, 612

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 387, 464, 148, 618, 612 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 387, 464, 148, 618, 612. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,464,148,618,612

Given numbers are 387,464,148,618,612

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 387,464,148,618,612 is 11633672016.

Find LCM of 387,464,148,618,612 with Prime Factorization


2 387, 464, 148, 618, 612
2 387, 232, 74, 309, 306
3 387, 116, 37, 309, 153
3 129, 116, 37, 103, 51
43, 116, 37, 103, 17

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 3 x 43 x 116 x 37 x 103 x 17 = 11633672016

Therefore, the lowest common multiple of 387,464,148,618,612 is 11633672016.

LCM Formula to Find Lowest Common Multiple of 387,464,148,618,612

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

387 x 464 x 148 x 618 x 612 = 10051492621824

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

387 : 1, 3, 9, 43, 129, 387

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

148 : 1, 2, 4, 37, 74, 148

618 : 1, 2, 3, 6, 103, 206, 309, 618

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,464,148,618,612, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

464:2x 2x 2x 2x 29

148:2x 2x 37

618:2x 3x 103

612:2x 2x 3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 10051492621824/(1x864)

LCM = 10051492621824/864

LCM = 11633672016

Thus, we can understand that the LCM of 387,464,148,618,612 is 11633672016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 387, 464, 148, 618, 612

1. What is the LCM of 387, 464, 148, 618, 612?

Answer: LCM of 387, 464, 148, 618, 612 is 11633672016.

2. How to calculate the LCM of 387, 464, 148, 618, 612?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 387, 464, 148, 618, 612.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.