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LCM of 407, 220, 578, 915

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


Find the LCM of 407, 220, 578, 915 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 407, 220, 578, 915. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,220,578,915

Given numbers are 407,220,578,915

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

The LCM of 407,220,578,915 is 430500180.

Find LCM of 407,220,578,915 with Prime Factorization


2 407, 220, 578, 915
5 407, 110, 289, 915
11 407, 22, 289, 183
37, 2, 289, 183

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

2 x 5 x 11 x 37 x 2 x 289 x 183 = 430500180

Therefore, the lowest common multiple of 407,220,578,915 is 430500180.

LCM Formula to Find Lowest Common Multiple of 407,220,578,915

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.

407 x 220 x 578 x 915 = 47355019800

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.

407 : 1, 11, 37, 407

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

578 : 1, 2, 17, 34, 289, 578

915 : 1, 3, 5, 15, 61, 183, 305, 915

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,220,578,915, is 1.

Now, the common factors can be found like this.

407:11x 37

220:2x 2x 5x 11

578:2x 17x 17

915:3x 5x 61

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 47355019800/(1x110)

LCM = 47355019800/110

LCM = 430500180

Thus, we can understand that the LCM of 407,220,578,915 is 430500180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 220, 578, 915

1. What is the LCM of 407, 220, 578, 915?

Answer: LCM of 407, 220, 578, 915 is 430500180.

2. How to calculate the LCM of 407, 220, 578, 915?

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 407, 220, 578, 915.

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}.