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LCM of 407, 938, 982, 432

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


Find the LCM of 407, 938, 982, 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 407, 938, 982, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,938,982,432

Given numbers are 407,938,982,432

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

The LCM of 407,938,982,432 is 40488574896.

Find LCM of 407,938,982,432 with Prime Factorization


2 407, 938, 982, 432
407, 469, 491, 216

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

2 x 407 x 469 x 491 x 216 = 40488574896

Therefore, the lowest common multiple of 407,938,982,432 is 40488574896.

LCM Formula to Find Lowest Common Multiple of 407,938,982,432

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.

407 x 938 x 982 x 432 = 161954299584

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

938 : 1, 2, 7, 14, 67, 134, 469, 938

982 : 1, 2, 491, 982

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 407,938,982,432, is 1.

Now, the common factors can be found like this.

407:11x 37

938:2x 7x 67

982:2x 491

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 2 = 4

Therefore, the value for common factors is 4.

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 = 161954299584/(1x4)

LCM = 161954299584/4

LCM = 40488574896

Thus, we can understand that the LCM of 407,938,982,432 is 40488574896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 938, 982, 432

1. What is the LCM of 407, 938, 982, 432?

Answer: LCM of 407, 938, 982, 432 is 40488574896.

2. How to calculate the LCM of 407, 938, 982, 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 407, 938, 982, 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}.