Given numbers are 420,313,760,637,544

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

The LCM of 420,313,760,637,544 is 30912030240.

Find LCM of 420,313,760,637,544 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 3 x 313 x 19 x 91 x 68 = 30912030240

Therefore, the lowest common multiple of 420,313,760,637,544 is 30912030240.

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 313 x 760 x 637 x 544 = 34621473868800

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

313 : 1, 313

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

637 : 1, 7, 13, 49, 91, 637

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,313,760,637,544, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

313:313

760:2x 2x 2x 5x 19

637:7x 7x 13

544:2x 2x 2x 2x 2x 17

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 5x 7 = 1120

Therefore, the value for common factors is 1120.

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 = 34621473868800/(1x1120)

LCM = 34621473868800/1120

LCM = 30912030240

Thus, we can understand that the LCM of 420,313,760,637,544 is 30912030240.

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

• LCM of 797, 113, 154, 899, 196
• LCM of 470, 585, 818, 577, 872
• LCM of 962, 734, 835, 541, 496
• LCM of 168, 955, 683, 703, 973
• LCM of 307, 218, 354, 969, 115

1. What is the LCM of 420, 313, 760, 637, 544?

Answer: LCM of 420, 313, 760, 637, 544 is 30912030240.

2. How to calculate the LCM of 420, 313, 760, 637, 544?

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, 313, 760, 637, 544.

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}.