Given numbers are 420,755,505,741,195

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

The LCM of 420,755,505,741,195 is 1582138740.

Find LCM of 420,755,505,741,195 with Prime Factorization

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

3 x 5 x 13 x 28 x 151 x 101 x 19 x 1 = 1582138740

Therefore, the lowest common multiple of 420,755,505,741,195 is 1582138740.

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 755 x 505 x 741 x 195 = 23138779072500

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

755 : 1, 5, 151, 755

505 : 1, 5, 101, 505

741 : 1, 3, 13, 19, 39, 57, 247, 741

195 : 1, 3, 5, 13, 15, 39, 65, 195

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,755,505,741,195, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

755:5x 151

505:5x 101

741:3x 13x 19

195:3x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 5x 5x 5x 13 = 14625

Therefore, the value for common factors is 14625.

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 = 23138779072500/(1x14625)

LCM = 23138779072500/14625

LCM = 1582138740

Thus, we can understand that the LCM of 420,755,505,741,195 is 1582138740.

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

• LCM of 802, 351, 902, 950, 192
• LCM of 540, 551, 522, 677, 398
• LCM of 608, 671, 572, 836, 672
• LCM of 983, 664, 939, 628, 596
• LCM of 210, 395, 848, 721, 851

1. What is the LCM of 420, 755, 505, 741, 195?

Answer: LCM of 420, 755, 505, 741, 195 is 1582138740.

2. How to calculate the LCM of 420, 755, 505, 741, 195?

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, 755, 505, 741, 195.

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}.