Given numbers are 453,402,490,435,828

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

The LCM of 453,402,490,435,828 is 59517703980.

Find LCM of 453,402,490,435,828 with Prime Factorization

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

2 x 3 x 5 x 151 x 67 x 49 x 29 x 138 = 59517703980

Therefore, the lowest common multiple of 453,402,490,435,828 is 59517703980.

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.

453 x 402 x 490 x 435 x 828 = 32139560149200

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.

453 : 1, 3, 151, 453

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

435 : 1, 3, 5, 15, 29, 87, 145, 435

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,402,490,435,828, is 1.

Now, the common factors can be found like this.

453:3x 151

402:2x 3x 67

490:2x 5x 7x 7

435:3x 5x 29

828:2x 2x 3x 3x 23

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 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 32139560149200/(1x540)

LCM = 32139560149200/540

LCM = 59517703980

Thus, we can understand that the LCM of 453,402,490,435,828 is 59517703980.

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

• LCM of 436, 579, 426, 389, 231
• LCM of 386, 535, 831, 540, 768
• LCM of 612, 417, 686, 840, 902
• LCM of 635, 840, 760, 493, 763
• LCM of 152, 788, 386, 615, 455

1. What is the LCM of 453, 402, 490, 435, 828?

Answer: LCM of 453, 402, 490, 435, 828 is 59517703980.

2. How to calculate the LCM of 453, 402, 490, 435, 828?

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 453, 402, 490, 435, 828.

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}.