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LCM of 648, 390, 844, 422

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


Find the LCM of 648, 390, 844, 422 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 648, 390, 844, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,390,844,422

Given numbers are 648,390,844,422

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

The LCM of 648,390,844,422 is 8887320.

Find LCM of 648,390,844,422 with Prime Factorization


2 648, 390, 844, 422
2 324, 195, 422, 211
3 162, 195, 211, 211
211 54, 65, 211, 211
54, 65, 1, 1

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

2 x 2 x 3 x 211 x 54 x 65 x 1 x 1 = 8887320

Therefore, the lowest common multiple of 648,390,844,422 is 8887320.

LCM Formula to Find Lowest Common Multiple of 648,390,844,422

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.

648 x 390 x 844 x 422 = 90010776960

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

844 : 1, 2, 4, 211, 422, 844

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,390,844,422, is 2.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

390:2x 3x 5x 13

844:2x 2x 211

422:2x 211

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 3x 211 = 5064

Therefore, the value for common factors is 5064.

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 = 90010776960/(2x5064)

LCM = 90010776960/10128

LCM = 8887320

Thus, we can understand that the LCM of 648,390,844,422 is 8887320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 390, 844, 422

1. What is the LCM of 648, 390, 844, 422?

Answer: LCM of 648, 390, 844, 422 is 8887320.

2. How to calculate the LCM of 648, 390, 844, 422?

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 648, 390, 844, 422.

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}.