Given numbers are 501,414,564,402,203

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

The LCM of 501,414,564,402,203 is 88392518172.

Find LCM of 501,414,564,402,203 with Prime Factorization

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

2 x 3 x 167 x 69 x 94 x 67 x 203 = 88392518172

Therefore, the lowest common multiple of 501,414,564,402,203 is 88392518172.

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.

501 x 414 x 564 x 402 x 203 = 9546391962576

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.

501 : 1, 3, 167, 501

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

402 : 1, 2, 3, 6, 67, 134, 201, 402

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,414,564,402,203, is 1.

Now, the common factors can be found like this.

501:3x 167

414:2x 3x 3x 23

564:2x 2x 3x 47

402:2x 3x 67

203:7x 29

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 9546391962576/(1x108)

LCM = 9546391962576/108

LCM = 88392518172

Thus, we can understand that the LCM of 501,414,564,402,203 is 88392518172.

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

• LCM of 214, 543, 754, 276, 930
• LCM of 879, 710, 221, 806, 846
• LCM of 735, 486, 354, 424, 692
• LCM of 574, 563, 945, 202, 354
• LCM of 533, 566, 980, 476, 230

1. What is the LCM of 501, 414, 564, 402, 203?

Answer: LCM of 501, 414, 564, 402, 203 is 88392518172.

2. How to calculate the LCM of 501, 414, 564, 402, 203?

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 501, 414, 564, 402, 203.

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}.