Given numbers are 420,772,308,464,737

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

The LCM of 420,772,308,464,737 is 6929981520.

Find LCM of 420,772,308,464,737 with Prime Factorization

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

2 x 2 x 7 x 11 x 15 x 193 x 1 x 116 x 67 = 6929981520

Therefore, the lowest common multiple of 420,772,308,464,737 is 6929981520.

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 772 x 308 x 464 x 737 = 34150948930560

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

772 : 1, 2, 4, 193, 386, 772

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,772,308,464,737, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

772:2x 2x 193

308:2x 2x 7x 11

464:2x 2x 2x 2x 29

737:11x 67

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 7x 11 = 4928

Therefore, the value for common factors is 4928.

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 = 34150948930560/(1x4928)

LCM = 34150948930560/4928

LCM = 6929981520

Thus, we can understand that the LCM of 420,772,308,464,737 is 6929981520.

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

• LCM of 310, 263, 507, 706, 899
• LCM of 263, 244, 784, 165, 987
• LCM of 962, 965, 103, 321, 271
• LCM of 697, 595, 398, 933, 494
• LCM of 205, 596, 428, 519, 835

1. What is the LCM of 420, 772, 308, 464, 737?

Answer: LCM of 420, 772, 308, 464, 737 is 6929981520.

2. How to calculate the LCM of 420, 772, 308, 464, 737?

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, 772, 308, 464, 737.

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}.