Given numbers are 928,365,815,420

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

The LCM of 928,365,815,420 is 1159438560.

Find LCM of 928,365,815,420 with Prime Factorization

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

2 x 2 x 5 x 232 x 73 x 163 x 21 = 1159438560

Therefore, the lowest common multiple of 928,365,815,420 is 1159438560.

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.

928 x 365 x 815 x 420 = 115943856000

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

365 : 1, 5, 73, 365

815 : 1, 5, 163, 815

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 928,365,815,420, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

365:5x 73

815:5x 163

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 115943856000/(1x100)

LCM = 115943856000/100

LCM = 1159438560

Thus, we can understand that the LCM of 928,365,815,420 is 1159438560.

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

• LCM of 504, 355, 437, 161
• LCM of 483, 872, 282, 234
• LCM of 835, 192, 512, 817
• LCM of 411, 982, 744, 992
• LCM of 760, 706, 901, 156

1. What is the LCM of 928, 365, 815, 420?

Answer: LCM of 928, 365, 815, 420 is 1159438560.

2. How to calculate the LCM of 928, 365, 815, 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 928, 365, 815, 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}.