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LCM of 672, 926, 580, 390

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


Find the LCM of 672, 926, 580, 390 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 672, 926, 580, 390. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,926,580,390

Given numbers are 672,926,580,390

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

The LCM of 672,926,580,390 is 586491360.

Find LCM of 672,926,580,390 with Prime Factorization


2 672, 926, 580, 390
2 336, 463, 290, 195
3 168, 463, 145, 195
5 56, 463, 145, 65
56, 463, 29, 13

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

2 x 2 x 3 x 5 x 56 x 463 x 29 x 13 = 586491360

Therefore, the lowest common multiple of 672,926,580,390 is 586491360.

LCM Formula to Find Lowest Common Multiple of 672,926,580,390

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.

672 x 926 x 580 x 390 = 140757926400

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.

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

926 : 1, 2, 463, 926

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,926,580,390, is 2.

Now, the common factors can be found like this.

672:2x 2x 2x 2x 2x 3x 7

926:2x 463

580:2x 2x 5x 29

390:2x 3x 5x 13

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 5 = 120

Therefore, the value for common factors is 120.

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 = 140757926400/(2x120)

LCM = 140757926400/240

LCM = 586491360

Thus, we can understand that the LCM of 672,926,580,390 is 586491360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 926, 580, 390

1. What is the LCM of 672, 926, 580, 390?

Answer: LCM of 672, 926, 580, 390 is 586491360.

2. How to calculate the LCM of 672, 926, 580, 390?

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 672, 926, 580, 390.

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}.