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LCM of 599, 772, 440, 270, 724

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


Find the LCM of 599, 772, 440, 270, 724 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 599, 772, 440, 270, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 599,772,440,270,724

Given numbers are 599,772,440,270,724

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

The LCM of 599,772,440,270,724 is 248587419960.

Find LCM of 599,772,440,270,724 with Prime Factorization


2 599, 772, 440, 270, 724
2 599, 386, 220, 135, 362
5 599, 193, 110, 135, 181
599, 193, 22, 27, 181

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

2 x 2 x 5 x 599 x 193 x 22 x 27 x 181 = 248587419960

Therefore, the lowest common multiple of 599,772,440,270,724 is 248587419960.

LCM Formula to Find Lowest Common Multiple of 599,772,440,270,724

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.

599 x 772 x 440 x 270 x 724 = 39773987193600

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.

599 : 1, 599

772 : 1, 2, 4, 193, 386, 772

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

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,772,440,270,724, is 1.

Now, the common factors can be found like this.

599:599

772:2x 2x 193

440:2x 2x 2x 5x 11

270:2x 3x 3x 3x 5

724:2x 2x 181

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 5 = 160

Therefore, the value for common factors is 160.

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 = 39773987193600/(1x160)

LCM = 39773987193600/160

LCM = 248587419960

Thus, we can understand that the LCM of 599,772,440,270,724 is 248587419960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 599, 772, 440, 270, 724

1. What is the LCM of 599, 772, 440, 270, 724?

Answer: LCM of 599, 772, 440, 270, 724 is 248587419960.

2. How to calculate the LCM of 599, 772, 440, 270, 724?

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 599, 772, 440, 270, 724.

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}.