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LCM of 407, 152, 583, 439

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


Find the LCM of 407, 152, 583, 439 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, 152, 583, 439. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,152,583,439

Given numbers are 407,152,583,439

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

The LCM of 407,152,583,439 is 1439389688.

Find LCM of 407,152,583,439 with Prime Factorization


11 407, 152, 583, 439
37, 152, 53, 439

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

11 x 37 x 152 x 53 x 439 = 1439389688

Therefore, the lowest common multiple of 407,152,583,439 is 1439389688.

LCM Formula to Find Lowest Common Multiple of 407,152,583,439

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 152 x 583 x 439 = 15833286568

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

152 : 1, 2, 4, 8, 19, 38, 76, 152

583 : 1, 11, 53, 583

439 : 1, 439

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,152,583,439, is 1.

Now, the common factors can be found like this.

407:11x 37

152:2x 2x 2x 19

583:11x 53

439:439

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

11 = 11

Therefore, the value for common factors is 11.

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 = 15833286568/(1x11)

LCM = 15833286568/11

LCM = 1439389688

Thus, we can understand that the LCM of 407,152,583,439 is 1439389688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 152, 583, 439

1. What is the LCM of 407, 152, 583, 439?

Answer: LCM of 407, 152, 583, 439 is 1439389688.

2. How to calculate the LCM of 407, 152, 583, 439?

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, 152, 583, 439.

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}.