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LCM of 323, 512, 704, 153, 661

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


Find the LCM of 323, 512, 704, 153, 661 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 323, 512, 704, 153, 661. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 323,512,704,153,661

Given numbers are 323,512,704,153,661

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

The LCM of 323,512,704,153,661 is 10822040064.

Find LCM of 323,512,704,153,661 with Prime Factorization


2 323, 512, 704, 153, 661
2 323, 256, 352, 153, 661
2 323, 128, 176, 153, 661
2 323, 64, 88, 153, 661
2 323, 32, 44, 153, 661
2 323, 16, 22, 153, 661
17 323, 8, 11, 153, 661
19, 8, 11, 9, 661

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

2 x 2 x 2 x 2 x 2 x 2 x 17 x 19 x 8 x 11 x 9 x 661 = 10822040064

Therefore, the lowest common multiple of 323,512,704,153,661 is 10822040064.

LCM Formula to Find Lowest Common Multiple of 323,512,704,153,661

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.

323 x 512 x 704 x 153 x 661 = 11774379589632

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.

323 : 1, 17, 19, 323

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

153 : 1, 3, 9, 17, 51, 153

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,512,704,153,661, is 1.

Now, the common factors can be found like this.

323:17x 19

512:2x 2x 2x 2x 2x 2x 2x 2x 2

704:2x 2x 2x 2x 2x 2x 11

153:3x 3x 17

661:661

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 2x 2x 2x 17 = 1088

Therefore, the value for common factors is 1088.

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 = 11774379589632/(1x1088)

LCM = 11774379589632/1088

LCM = 10822040064

Thus, we can understand that the LCM of 323,512,704,153,661 is 10822040064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 323, 512, 704, 153, 661

1. What is the LCM of 323, 512, 704, 153, 661?

Answer: LCM of 323, 512, 704, 153, 661 is 10822040064.

2. How to calculate the LCM of 323, 512, 704, 153, 661?

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 323, 512, 704, 153, 661.

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}.