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LCM of 474, 810, 139, 255, 655

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


Find the LCM of 474, 810, 139, 255, 655 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 474, 810, 139, 255, 655. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 474,810,139,255,655

Given numbers are 474,810,139,255,655

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

The LCM of 474,810,139,255,655 is 19808296470.

Find LCM of 474,810,139,255,655 with Prime Factorization


2 474, 810, 139, 255, 655
3 237, 405, 139, 255, 655
5 79, 135, 139, 85, 655
79, 27, 139, 17, 131

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

2 x 3 x 5 x 79 x 27 x 139 x 17 x 131 = 19808296470

Therefore, the lowest common multiple of 474,810,139,255,655 is 19808296470.

LCM Formula to Find Lowest Common Multiple of 474,810,139,255,655

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.

474 x 810 x 139 x 255 x 655 = 8913733411500

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

139 : 1, 139

255 : 1, 3, 5, 15, 17, 51, 85, 255

655 : 1, 5, 131, 655

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,810,139,255,655, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

810:2x 3x 3x 3x 3x 5

139:139

255:3x 5x 17

655:5x 131

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 8913733411500/(1x450)

LCM = 8913733411500/450

LCM = 19808296470

Thus, we can understand that the LCM of 474,810,139,255,655 is 19808296470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 474, 810, 139, 255, 655

1. What is the LCM of 474, 810, 139, 255, 655?

Answer: LCM of 474, 810, 139, 255, 655 is 19808296470.

2. How to calculate the LCM of 474, 810, 139, 255, 655?

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 474, 810, 139, 255, 655.

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}.