Given numbers are 360,276,412,516,537

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

The LCM of 360,276,412,516,537 is 6564309480.

Find LCM of 360,276,412,516,537 with Prime Factorization

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

2 x 2 x 3 x 30 x 23 x 103 x 43 x 179 = 6564309480

Therefore, the lowest common multiple of 360,276,412,516,537 is 6564309480.

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.

360 x 276 x 412 x 516 x 537 = 11343126781440

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

412 : 1, 2, 4, 103, 206, 412

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

537 : 1, 3, 179, 537

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,276,412,516,537, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

276:2x 2x 3x 23

412:2x 2x 103

516:2x 2x 3x 43

537:3x 179

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 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 11343126781440/(1x1728)

LCM = 11343126781440/1728

LCM = 6564309480

Thus, we can understand that the LCM of 360,276,412,516,537 is 6564309480.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 741, 623, 615, 117, 692
• LCM of 959, 438, 992, 137, 685
• LCM of 695, 150, 567, 241, 704
• LCM of 121, 410, 562, 945, 978
• LCM of 568, 899, 275, 314, 631

1. What is the LCM of 360, 276, 412, 516, 537?

Answer: LCM of 360, 276, 412, 516, 537 is 6564309480.

2. How to calculate the LCM of 360, 276, 412, 516, 537?

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 360, 276, 412, 516, 537.

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}.