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LCM of 720, 230, 360, 700

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


Find the LCM of 720, 230, 360, 700 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 720, 230, 360, 700. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,230,360,700

Given numbers are 720,230,360,700

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

The LCM of 720,230,360,700 is 579600.

Find LCM of 720,230,360,700 with Prime Factorization


2 720, 230, 360, 700
2 360, 115, 180, 350
2 90, 115, 180, 175
3 45, 115, 90, 175
3 15, 115, 30, 175
5 5, 115, 10, 175
1, 23, 2, 35

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

2 x 2 x 2 x 3 x 3 x 5 x 1 x 23 x 2 x 35 = 579600

Therefore, the lowest common multiple of 720,230,360,700 is 579600.

LCM Formula to Find Lowest Common Multiple of 720,230,360,700

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.

720 x 230 x 360 x 700 = 41731200000

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.

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

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

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,230,360,700, is 10.

Now, the common factors can be found like this.

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

230:2x 5x 23

360:2x 2x 2x 3x 3x 5

700:2x 2x 5x 5x 7

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 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 41731200000/(10x7200)

LCM = 41731200000/72000

LCM = 579600

Thus, we can understand that the LCM of 720,230,360,700 is 579600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 230, 360, 700

1. What is the LCM of 720, 230, 360, 700?

Answer: LCM of 720, 230, 360, 700 is 579600.

2. How to calculate the LCM of 720, 230, 360, 700?

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 720, 230, 360, 700.

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}.