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LCM of 570, 366, 937, 924

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


Find the LCM of 570, 366, 937, 924 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 570, 366, 937, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,366,937,924

Given numbers are 570,366,937,924

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

The LCM of 570,366,937,924 is 5017241460.

Find LCM of 570,366,937,924 with Prime Factorization


2 570, 366, 937, 924
3 285, 183, 937, 462
95, 61, 937, 154

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

2 x 3 x 95 x 61 x 937 x 154 = 5017241460

Therefore, the lowest common multiple of 570,366,937,924 is 5017241460.

LCM Formula to Find Lowest Common Multiple of 570,366,937,924

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.

570 x 366 x 937 x 924 = 180620692560

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

366 : 1, 2, 3, 6, 61, 122, 183, 366

937 : 1, 937

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,366,937,924, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

366:2x 3x 61

937:937

924:2x 2x 3x 7x 11

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 180620692560/(1x36)

LCM = 180620692560/36

LCM = 5017241460

Thus, we can understand that the LCM of 570,366,937,924 is 5017241460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 366, 937, 924

1. What is the LCM of 570, 366, 937, 924?

Answer: LCM of 570, 366, 937, 924 is 5017241460.

2. How to calculate the LCM of 570, 366, 937, 924?

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 570, 366, 937, 924.

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}.