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LCM of 572, 460, 229, 732

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


Find the LCM of 572, 460, 229, 732 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, 460, 229, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,460,229,732

Given numbers are 572,460,229,732

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

The LCM of 572,460,229,732 is 2756642460.

Find LCM of 572,460,229,732 with Prime Factorization


2 572, 460, 229, 732
2 286, 230, 229, 366
143, 115, 229, 183

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

2 x 2 x 143 x 115 x 229 x 183 = 2756642460

Therefore, the lowest common multiple of 572,460,229,732 is 2756642460.

LCM Formula to Find Lowest Common Multiple of 572,460,229,732

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 460 x 229 x 732 = 44106279360

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

229 : 1, 229

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,460,229,732, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

460:2x 2x 5x 23

229:229

732:2x 2x 3x 61

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 2 = 16

Therefore, the value for common factors is 16.

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 = 44106279360/(1x16)

LCM = 44106279360/16

LCM = 2756642460

Thus, we can understand that the LCM of 572,460,229,732 is 2756642460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 460, 229, 732

1. What is the LCM of 572, 460, 229, 732?

Answer: LCM of 572, 460, 229, 732 is 2756642460.

2. How to calculate the LCM of 572, 460, 229, 732?

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, 460, 229, 732.

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}.