Given numbers are 540,638,484,874,129

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

The LCM of 540,638,484,874,129 is 35606314260.

Find LCM of 540,638,484,874,129 with Prime Factorization

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

2 x 2 x 3 x 11 x 45 x 29 x 11 x 437 x 43 = 35606314260

Therefore, the lowest common multiple of 540,638,484,874,129 is 35606314260.

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 638 x 484 x 874 x 129 = 18800133929280

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

874 : 1, 2, 19, 23, 38, 46, 437, 874

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,638,484,874,129, is 1.

Now, the common factors can be found like this.

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

638:2x 11x 29

484:2x 2x 11x 11

874:2x 19x 23

129:3x 43

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 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 18800133929280/(1x528)

LCM = 18800133929280/528

LCM = 35606314260

Thus, we can understand that the LCM of 540,638,484,874,129 is 35606314260.

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

• LCM of 801, 706, 623, 442, 216
• LCM of 931, 198, 200, 659, 214
• LCM of 700, 205, 755, 933, 613
• LCM of 282, 517, 382, 630, 501
• LCM of 670, 432, 594, 768, 500

1. What is the LCM of 540, 638, 484, 874, 129?

Answer: LCM of 540, 638, 484, 874, 129 is 35606314260.

2. How to calculate the LCM of 540, 638, 484, 874, 129?

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, 638, 484, 874, 129.

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}.