Given numbers are 420,380,696,461,740

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

The LCM of 420,380,696,461,740 is 7894661880.

Find LCM of 420,380,696,461,740 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 19 x 58 x 461 x 37 = 7894661880

Therefore, the lowest common multiple of 420,380,696,461,740 is 7894661880.

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 380 x 696 x 461 x 740 = 37894377024000

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

461 : 1, 461

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,380,696,461,740, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

380:2x 2x 5x 19

696:2x 2x 2x 3x 29

461:461

740:2x 2x 5x 37

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 2x 2x 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 37894377024000/(1x4800)

LCM = 37894377024000/4800

LCM = 7894661880

Thus, we can understand that the LCM of 420,380,696,461,740 is 7894661880.

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

• LCM of 434, 450, 885, 595, 190
• LCM of 717, 822, 794, 844, 282
• LCM of 614, 597, 399, 756, 833
• LCM of 689, 965, 583, 647, 677
• LCM of 180, 714, 338, 601, 694

1. What is the LCM of 420, 380, 696, 461, 740?

Answer: LCM of 420, 380, 696, 461, 740 is 7894661880.

2. How to calculate the LCM of 420, 380, 696, 461, 740?

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, 380, 696, 461, 740.

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}.