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LCM of 230, 880, 651, 720

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


Find the LCM of 230, 880, 651, 720 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 230, 880, 651, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,880,651,720

Given numbers are 230,880,651,720

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

The LCM of 230,880,651,720 is 39528720.

Find LCM of 230,880,651,720 with Prime Factorization


2 230, 880, 651, 720
2 115, 440, 651, 360
2 115, 220, 651, 180
2 115, 110, 651, 90
3 115, 55, 651, 45
5 115, 55, 217, 15
23, 11, 217, 3

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

2 x 2 x 2 x 2 x 3 x 5 x 23 x 11 x 217 x 3 = 39528720

Therefore, the lowest common multiple of 230,880,651,720 is 39528720.

LCM Formula to Find Lowest Common Multiple of 230,880,651,720

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.

230 x 880 x 651 x 720 = 94868928000

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

651 : 1, 3, 7, 21, 31, 93, 217, 651

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,880,651,720, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

880:2x 2x 2x 2x 5x 11

651:3x 7x 31

720:2x 2x 2x 2x 3x 3x 5

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 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 94868928000/(1x2400)

LCM = 94868928000/2400

LCM = 39528720

Thus, we can understand that the LCM of 230,880,651,720 is 39528720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 880, 651, 720

1. What is the LCM of 230, 880, 651, 720?

Answer: LCM of 230, 880, 651, 720 is 39528720.

2. How to calculate the LCM of 230, 880, 651, 720?

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 230, 880, 651, 720.

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}.