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LCM of 715, 540, 432

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


Find the LCM of 715, 540, 432 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 715, 540, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,540,432

Given numbers are 715,540,432

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

The LCM of 715,540,432 is 308880.

Find LCM of 715,540,432 with Prime Factorization


2 715, 540, 432
2 715, 270, 216
3 715, 135, 108
3 715, 45, 36
3 715, 15, 12
5 715, 5, 4
143, 1, 4

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

2 x 2 x 3 x 3 x 3 x 5 x 143 x 1 x 4 = 308880

Therefore, the lowest common multiple of 715,540,432 is 308880.

LCM Formula to Find Lowest Common Multiple of 715,540,432

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.

715 x 540 x 432 = 166795200

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,540,432, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

540:2x 2x 3x 3x 3x 5

432:2x 2x 2x 2x 3x 3x 3

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 3x 3x 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 166795200/(1x540)

LCM = 166795200/540

LCM = 308880

Thus, we can understand that the LCM of 715,540,432 is 308880.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 715, 540, 432

1. What is the LCM of 715, 540, 432?

Answer: LCM of 715, 540, 432 is 308880.

2. How to calculate the LCM of 715, 540, 432?

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 715, 540, 432.

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}.