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LCM of 638, 700, 839, 207

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


Find the LCM of 638, 700, 839, 207 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 638, 700, 839, 207. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,700,839,207

Given numbers are 638,700,839,207

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

The LCM of 638,700,839,207 is 38781180900.

Find LCM of 638,700,839,207 with Prime Factorization


2 638, 700, 839, 207
319, 350, 839, 207

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

2 x 319 x 350 x 839 x 207 = 38781180900

Therefore, the lowest common multiple of 638,700,839,207 is 38781180900.

LCM Formula to Find Lowest Common Multiple of 638,700,839,207

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.

638 x 700 x 839 x 207 = 77562361800

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

839 : 1, 839

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,700,839,207, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

700:2x 2x 5x 5x 7

839:839

207:3x 3x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 77562361800/(1x2)

LCM = 77562361800/2

LCM = 38781180900

Thus, we can understand that the LCM of 638,700,839,207 is 38781180900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 700, 839, 207

1. What is the LCM of 638, 700, 839, 207?

Answer: LCM of 638, 700, 839, 207 is 38781180900.

2. How to calculate the LCM of 638, 700, 839, 207?

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 638, 700, 839, 207.

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}.