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LCM of 659, 228, 612, 750, 780

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


Find the LCM of 659, 228, 612, 750, 780 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 659, 228, 612, 750, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 659,228,612,750,780

Given numbers are 659,228,612,750,780

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

The LCM of 659,228,612,750,780 is 12452134500.

Find LCM of 659,228,612,750,780 with Prime Factorization


2 659, 228, 612, 750, 780
2 659, 114, 306, 375, 390
3 659, 57, 153, 375, 195
5 659, 19, 51, 125, 65
659, 19, 51, 25, 13

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

2 x 2 x 3 x 5 x 659 x 19 x 51 x 25 x 13 = 12452134500

Therefore, the lowest common multiple of 659,228,612,750,780 is 12452134500.

LCM Formula to Find Lowest Common Multiple of 659,228,612,750,780

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.

659 x 228 x 612 x 750 x 780 = 53793221040000

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.

659 : 1, 659

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,228,612,750,780, is 1.

Now, the common factors can be found like this.

659:659

228:2x 2x 3x 19

612:2x 2x 3x 3x 17

750:2x 3x 5x 5x 5

780:2x 2x 3x 5x 13

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 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 53793221040000/(1x4320)

LCM = 53793221040000/4320

LCM = 12452134500

Thus, we can understand that the LCM of 659,228,612,750,780 is 12452134500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 659, 228, 612, 750, 780

1. What is the LCM of 659, 228, 612, 750, 780?

Answer: LCM of 659, 228, 612, 750, 780 is 12452134500.

2. How to calculate the LCM of 659, 228, 612, 750, 780?

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 659, 228, 612, 750, 780.

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}.