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LCM of 572, 186, 533, 949

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


Find the LCM of 572, 186, 533, 949 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 572, 186, 533, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,186,533,949

Given numbers are 572,186,533,949

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

The LCM of 572,186,533,949 is 159215628.

Find LCM of 572,186,533,949 with Prime Factorization


2 572, 186, 533, 949
13 286, 93, 533, 949
22, 93, 41, 73

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

2 x 13 x 22 x 93 x 41 x 73 = 159215628

Therefore, the lowest common multiple of 572,186,533,949 is 159215628.

LCM Formula to Find Lowest Common Multiple of 572,186,533,949

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.

572 x 186 x 533 x 949 = 53814882264

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

186 : 1, 2, 3, 6, 31, 62, 93, 186

533 : 1, 13, 41, 533

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,186,533,949, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

186:2x 3x 31

533:13x 41

949:13x 73

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 13 = 338

Therefore, the value for common factors is 338.

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 = 53814882264/(1x338)

LCM = 53814882264/338

LCM = 159215628

Thus, we can understand that the LCM of 572,186,533,949 is 159215628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 186, 533, 949

1. What is the LCM of 572, 186, 533, 949?

Answer: LCM of 572, 186, 533, 949 is 159215628.

2. How to calculate the LCM of 572, 186, 533, 949?

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 572, 186, 533, 949.

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}.