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LCM of 505, 767, 295, 832, 325

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


Find the LCM of 505, 767, 295, 832, 325 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 505, 767, 295, 832, 325. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 505,767,295,832,325

Given numbers are 505,767,295,832,325

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

The LCM of 505,767,295,832,325 is 123947200.

Find LCM of 505,767,295,832,325 with Prime Factorization


5 505, 767, 295, 832, 325
13 101, 767, 59, 832, 65
59 101, 59, 59, 64, 5
101, 1, 1, 64, 5

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

5 x 13 x 59 x 101 x 1 x 1 x 64 x 5 = 123947200

Therefore, the lowest common multiple of 505,767,295,832,325 is 123947200.

LCM Formula to Find Lowest Common Multiple of 505,767,295,832,325

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.

505 x 767 x 295 x 832 x 325 = 30896938280000

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.

505 : 1, 5, 101, 505

767 : 1, 13, 59, 767

295 : 1, 5, 59, 295

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

325 : 1, 5, 13, 25, 65, 325

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,767,295,832,325, is 1.

Now, the common factors can be found like this.

505:5x 101

767:13x 59

295:5x 59

832:2x 2x 2x 2x 2x 2x 13

325:5x 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.

5x 5x 13x 13x 59 = 249275

Therefore, the value for common factors is 249275.

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 = 30896938280000/(1x249275)

LCM = 30896938280000/249275

LCM = 123947200

Thus, we can understand that the LCM of 505,767,295,832,325 is 123947200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 505, 767, 295, 832, 325

1. What is the LCM of 505, 767, 295, 832, 325?

Answer: LCM of 505, 767, 295, 832, 325 is 123947200.

2. How to calculate the LCM of 505, 767, 295, 832, 325?

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 505, 767, 295, 832, 325.

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}.