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LCM of 825, 217, 289, 630

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


Find the LCM of 825, 217, 289, 630 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 825, 217, 289, 630. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,217,289,630

Given numbers are 825,217,289,630

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

The LCM of 825,217,289,630 is 310429350.

Find LCM of 825,217,289,630 with Prime Factorization


3 825, 217, 289, 630
5 275, 217, 289, 210
7 55, 217, 289, 42
55, 31, 289, 6

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

3 x 5 x 7 x 55 x 31 x 289 x 6 = 310429350

Therefore, the lowest common multiple of 825,217,289,630 is 310429350.

LCM Formula to Find Lowest Common Multiple of 825,217,289,630

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.

825 x 217 x 289 x 630 = 32595081750

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

217 : 1, 7, 31, 217

289 : 1, 17, 289

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,217,289,630, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

217:7x 31

289:17x 17

630:2x 3x 3x 5x 7

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

3x 5x 7 = 105

Therefore, the value for common factors is 105.

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 = 32595081750/(1x105)

LCM = 32595081750/105

LCM = 310429350

Thus, we can understand that the LCM of 825,217,289,630 is 310429350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 217, 289, 630

1. What is the LCM of 825, 217, 289, 630?

Answer: LCM of 825, 217, 289, 630 is 310429350.

2. How to calculate the LCM of 825, 217, 289, 630?

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 825, 217, 289, 630.

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}.