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LCM of 596, 403, 912, 583, 532

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


Find the LCM of 596, 403, 912, 583, 532 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 596, 403, 912, 583, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 596,403,912,583,532

Given numbers are 596,403,912,583,532

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

The LCM of 596,403,912,583,532 is 223487247984.

Find LCM of 596,403,912,583,532 with Prime Factorization


2 596, 403, 912, 583, 532
2 298, 403, 456, 583, 266
19 149, 403, 228, 583, 133
149, 403, 12, 583, 7

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

2 x 2 x 19 x 149 x 403 x 12 x 583 x 7 = 223487247984

Therefore, the lowest common multiple of 596,403,912,583,532 is 223487247984.

LCM Formula to Find Lowest Common Multiple of 596,403,912,583,532

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.

596 x 403 x 912 x 583 x 532 = 67940123387136

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.

596 : 1, 2, 4, 149, 298, 596

403 : 1, 13, 31, 403

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

583 : 1, 11, 53, 583

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,403,912,583,532, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

403:13x 31

912:2x 2x 2x 2x 3x 19

583:11x 53

532:2x 2x 7x 19

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 19 = 304

Therefore, the value for common factors is 304.

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 = 67940123387136/(1x304)

LCM = 67940123387136/304

LCM = 223487247984

Thus, we can understand that the LCM of 596,403,912,583,532 is 223487247984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 596, 403, 912, 583, 532

1. What is the LCM of 596, 403, 912, 583, 532?

Answer: LCM of 596, 403, 912, 583, 532 is 223487247984.

2. How to calculate the LCM of 596, 403, 912, 583, 532?

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 596, 403, 912, 583, 532.

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}.