Given numbers are 420,395,202,103,280

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

The LCM of 420,395,202,103,280 is 690343080.

Find LCM of 420,395,202,103,280 with Prime Factorization

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

2 x 2 x 5 x 7 x 3 x 79 x 101 x 103 x 2 = 690343080

Therefore, the lowest common multiple of 420,395,202,103,280 is 690343080.

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 395 x 202 x 103 x 280 = 966480312000

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

395 : 1, 5, 79, 395

202 : 1, 2, 101, 202

103 : 1, 103

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,395,202,103,280, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

395:5x 79

202:2x 101

103:103

280:2x 2x 2x 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 2x 2x 5x 5x 7 = 1400

Therefore, the value for common factors is 1400.

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 = 966480312000/(1x1400)

LCM = 966480312000/1400

LCM = 690343080

Thus, we can understand that the LCM of 420,395,202,103,280 is 690343080.

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

• LCM of 196, 214, 419, 790, 314
• LCM of 294, 184, 436, 270, 634
• LCM of 527, 637, 496, 276, 562
• LCM of 501, 180, 842, 995, 596
• LCM of 189, 269, 616, 332, 782

1. What is the LCM of 420, 395, 202, 103, 280?

Answer: LCM of 420, 395, 202, 103, 280 is 690343080.

2. How to calculate the LCM of 420, 395, 202, 103, 280?

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, 395, 202, 103, 280.

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}.