Given numbers are 420,642,453,399,175

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

The LCM of 420,642,453,399,175 is 644664300.

Find LCM of 420,642,453,399,175 with Prime Factorization

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

2 x 3 x 5 x 7 x 2 x 107 x 151 x 19 x 5 = 644664300

Therefore, the lowest common multiple of 420,642,453,399,175 is 644664300.

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.

420 x 642 x 453 x 399 x 175 = 8528908689000

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

642 : 1, 2, 3, 6, 107, 214, 321, 642

453 : 1, 3, 151, 453

399 : 1, 3, 7, 19, 21, 57, 133, 399

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,642,453,399,175, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

642:2x 3x 107

453:3x 151

399:3x 7x 19

175:5x 5x 7

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 5x 7x 7 = 13230

Therefore, the value for common factors is 13230.

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 = 8528908689000/(1x13230)

LCM = 8528908689000/13230

LCM = 644664300

Thus, we can understand that the LCM of 420,642,453,399,175 is 644664300.

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

• LCM of 230, 158, 705, 527, 488
• LCM of 935, 245, 572, 181, 574
• LCM of 737, 288, 135, 123, 127
• LCM of 345, 333, 748, 499, 827
• LCM of 494, 312, 358, 230, 579

1. What is the LCM of 420, 642, 453, 399, 175?

Answer: LCM of 420, 642, 453, 399, 175 is 644664300.

2. How to calculate the LCM of 420, 642, 453, 399, 175?

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 420, 642, 453, 399, 175.

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}.