Given numbers are 395,735,460,381,420

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

The LCM of 395,735,460,381,420 is 678431460.

Find LCM of 395,735,460,381,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 79 x 1 x 23 x 127 x 7 = 678431460

Therefore, the lowest common multiple of 395,735,460,381,420 is 678431460.

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.

395 x 735 x 460 x 381 x 420 = 21370590990000

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.

395 : 1, 5, 79, 395

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

381 : 1, 3, 127, 381

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,735,460,381,420, is 1.

Now, the common factors can be found like this.

395:5x 79

735:3x 5x 7x 7

460:2x 2x 5x 23

381:3x 127

420:2x 2x 3x 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 3x 3x 5x 5x 5x 7 = 31500

Therefore, the value for common factors is 31500.

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 = 21370590990000/(1x31500)

LCM = 21370590990000/31500

LCM = 678431460

Thus, we can understand that the LCM of 395,735,460,381,420 is 678431460.

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

• LCM of 103, 775, 803, 685, 800
• LCM of 486, 509, 610, 747, 897
• LCM of 361, 108, 336, 910, 779
• LCM of 848, 691, 970, 623, 604
• LCM of 502, 872, 973, 709, 372

1. What is the LCM of 395, 735, 460, 381, 420?

Answer: LCM of 395, 735, 460, 381, 420 is 678431460.

2. How to calculate the LCM of 395, 735, 460, 381, 420?

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 395, 735, 460, 381, 420.

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}.