Given numbers are 540,518,165,807,753

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

The LCM of 540,518,165,807,753 is 103875280740.

Find LCM of 540,518,165,807,753 with Prime Factorization

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

2 x 3 x 5 x 18 x 259 x 11 x 269 x 251 = 103875280740

Therefore, the lowest common multiple of 540,518,165,807,753 is 103875280740.

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.

540 x 518 x 165 x 807 x 753 = 28046325799800

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

518 : 1, 2, 7, 14, 37, 74, 259, 518

165 : 1, 3, 5, 11, 15, 33, 55, 165

807 : 1, 3, 269, 807

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,518,165,807,753, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

518:2x 7x 37

165:3x 5x 11

807:3x 269

753:3x 251

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

2x 3x 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 28046325799800/(1x270)

LCM = 28046325799800/270

LCM = 103875280740

Thus, we can understand that the LCM of 540,518,165,807,753 is 103875280740.

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

• LCM of 211, 485, 727, 126, 355
• LCM of 230, 918, 959, 124, 145
• LCM of 641, 991, 957, 291, 983
• LCM of 942, 631, 814, 622, 126
• LCM of 227, 791, 281, 704, 766

1. What is the LCM of 540, 518, 165, 807, 753?

Answer: LCM of 540, 518, 165, 807, 753 is 103875280740.

2. How to calculate the LCM of 540, 518, 165, 807, 753?

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 540, 518, 165, 807, 753.

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}.