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LCM of 596, 221, 578, 455

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


Find the LCM of 596, 221, 578, 455 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, 221, 578, 455. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 596,221,578,455

Given numbers are 596,221,578,455

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

The LCM of 596,221,578,455 is 78371020.

Find LCM of 596,221,578,455 with Prime Factorization


2 596, 221, 578, 455
13 298, 221, 289, 455
17 298, 17, 289, 35
298, 1, 17, 35

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

2 x 13 x 17 x 298 x 1 x 17 x 35 = 78371020

Therefore, the lowest common multiple of 596,221,578,455 is 78371020.

LCM Formula to Find Lowest Common Multiple of 596,221,578,455

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 221 x 578 x 455 = 34639990840

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

221 : 1, 13, 17, 221

578 : 1, 2, 17, 34, 289, 578

455 : 1, 5, 7, 13, 35, 65, 91, 455

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,221,578,455, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

221:13x 17

578:2x 17x 17

455:5x 7x 13

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

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 34639990840/(1x442)

LCM = 34639990840/442

LCM = 78371020

Thus, we can understand that the LCM of 596,221,578,455 is 78371020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 596, 221, 578, 455

1. What is the LCM of 596, 221, 578, 455?

Answer: LCM of 596, 221, 578, 455 is 78371020.

2. How to calculate the LCM of 596, 221, 578, 455?

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, 221, 578, 455.

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}.