Given numbers are 308,649,228,720

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

The LCM of 308,649,228,720 is 62148240.

Find LCM of 308,649,228,720 with Prime Factorization

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

2 x 2 x 3 x 11 x 7 x 59 x 19 x 60 = 62148240

Therefore, the lowest common multiple of 308,649,228,720 is 62148240.

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.

308 x 649 x 228 x 720 = 32814270720

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.

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

649 : 1, 11, 59, 649

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,649,228,720, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

649:11x 59

228:2x 2x 3x 19

720:2x 2x 2x 2x 3x 3x 5

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 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 32814270720/(1x528)

LCM = 32814270720/528

LCM = 62148240

Thus, we can understand that the LCM of 308,649,228,720 is 62148240.

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

• LCM of 109, 286, 751, 457
• LCM of 801, 430, 689, 858
• LCM of 423, 478, 265, 354
• LCM of 122, 963, 160, 814
• LCM of 370, 517, 285, 962

1. What is the LCM of 308, 649, 228, 720?

Answer: LCM of 308, 649, 228, 720 is 62148240.

2. How to calculate the LCM of 308, 649, 228, 720?

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 308, 649, 228, 720.

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}.