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LCM of 356, 810, 117, 683, 225

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


Find the LCM of 356, 810, 117, 683, 225 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 356, 810, 117, 683, 225. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 356,810,117,683,225

Given numbers are 356,810,117,683,225

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

The LCM of 356,810,117,683,225 is 6400871100.

Find LCM of 356,810,117,683,225 with Prime Factorization


2 356, 810, 117, 683, 225
3 178, 405, 117, 683, 225
3 178, 135, 39, 683, 75
5 178, 45, 13, 683, 25
178, 9, 13, 683, 5

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

2 x 3 x 3 x 5 x 178 x 9 x 13 x 683 x 5 = 6400871100

Therefore, the lowest common multiple of 356,810,117,683,225 is 6400871100.

LCM Formula to Find Lowest Common Multiple of 356,810,117,683,225

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.

356 x 810 x 117 x 683 x 225 = 5184705591000

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.

356 : 1, 2, 4, 89, 178, 356

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

117 : 1, 3, 9, 13, 39, 117

683 : 1, 683

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,810,117,683,225, is 1.

Now, the common factors can be found like this.

356:2x 2x 89

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

117:3x 3x 13

683:683

225:3x 3x 5x 5

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 3x 3x 5 = 810

Therefore, the value for common factors is 810.

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 = 5184705591000/(1x810)

LCM = 5184705591000/810

LCM = 6400871100

Thus, we can understand that the LCM of 356,810,117,683,225 is 6400871100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 356, 810, 117, 683, 225

1. What is the LCM of 356, 810, 117, 683, 225?

Answer: LCM of 356, 810, 117, 683, 225 is 6400871100.

2. How to calculate the LCM of 356, 810, 117, 683, 225?

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 356, 810, 117, 683, 225.

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}.