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LCM of 832, 590, 156, 349, 566

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


Find the LCM of 832, 590, 156, 349, 566 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 832, 590, 156, 349, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 832,590,156,349,566

Given numbers are 832,590,156,349,566

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

The LCM of 832,590,156,349,566 is 72724117440.

Find LCM of 832,590,156,349,566 with Prime Factorization


2 832, 590, 156, 349, 566
2 416, 295, 78, 349, 283
13 208, 295, 39, 349, 283
16, 295, 3, 349, 283

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

2 x 2 x 13 x 16 x 295 x 3 x 349 x 283 = 72724117440

Therefore, the lowest common multiple of 832,590,156,349,566 is 72724117440.

LCM Formula to Find Lowest Common Multiple of 832,590,156,349,566

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.

832 x 590 x 156 x 349 x 566 = 15126616427520

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.

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

349 : 1, 349

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,590,156,349,566, is 1.

Now, the common factors can be found like this.

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

590:2x 5x 59

156:2x 2x 3x 13

349:349

566:2x 283

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 13 = 208

Therefore, the value for common factors is 208.

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 = 15126616427520/(1x208)

LCM = 15126616427520/208

LCM = 72724117440

Thus, we can understand that the LCM of 832,590,156,349,566 is 72724117440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 832, 590, 156, 349, 566

1. What is the LCM of 832, 590, 156, 349, 566?

Answer: LCM of 832, 590, 156, 349, 566 is 72724117440.

2. How to calculate the LCM of 832, 590, 156, 349, 566?

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 832, 590, 156, 349, 566.

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}.