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LCM of 322, 980, 633, 790, 207

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


Find the LCM of 322, 980, 633, 790, 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 322, 980, 633, 790, 207. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,980,633,790,207

Given numbers are 322,980,633,790,207

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

The LCM of 322,980,633,790,207 is 3381473340.

Find LCM of 322,980,633,790,207 with Prime Factorization


2 322, 980, 633, 790, 207
3 161, 490, 633, 395, 207
5 161, 490, 211, 395, 69
7 161, 98, 211, 79, 69
23 23, 14, 211, 79, 69
1, 14, 211, 79, 3

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

2 x 3 x 5 x 7 x 23 x 1 x 14 x 211 x 79 x 3 = 3381473340

Therefore, the lowest common multiple of 322,980,633,790,207 is 3381473340.

LCM Formula to Find Lowest Common Multiple of 322,980,633,790,207

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.

322 x 980 x 633 x 790 x 207 = 32665032464400

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

633 : 1, 3, 211, 633

790 : 1, 2, 5, 10, 79, 158, 395, 790

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 322,980,633,790,207, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

980:2x 2x 5x 7x 7

633:3x 211

790:2x 5x 79

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.

2x 2x 3x 5x 7x 23 = 9660

Therefore, the value for common factors is 9660.

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 = 32665032464400/(1x9660)

LCM = 32665032464400/9660

LCM = 3381473340

Thus, we can understand that the LCM of 322,980,633,790,207 is 3381473340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 980, 633, 790, 207

1. What is the LCM of 322, 980, 633, 790, 207?

Answer: LCM of 322, 980, 633, 790, 207 is 3381473340.

2. How to calculate the LCM of 322, 980, 633, 790, 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 322, 980, 633, 790, 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}.