Given numbers are 916,409,229,765

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

The LCM of 916,409,229,765 is 286602660.

Find LCM of 916,409,229,765 with Prime Factorization

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

229 x 4 x 409 x 1 x 765 = 286602660

Therefore, the lowest common multiple of 916,409,229,765 is 286602660.

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.

916 x 409 x 229 x 765 = 65632009140

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.

916 : 1, 2, 4, 229, 458, 916

409 : 1, 409

229 : 1, 229

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,409,229,765, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

409:409

229:229

765:3x 3x 5x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

229 = 229

Therefore, the value for common factors is 229.

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 = 65632009140/(1x229)

LCM = 65632009140/229

LCM = 286602660

Thus, we can understand that the LCM of 916,409,229,765 is 286602660.

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

• LCM of 169, 733, 530, 135
• LCM of 377, 700, 219, 684
• LCM of 386, 130, 606, 683
• LCM of 712, 708, 234, 760
• LCM of 989, 538, 410, 254

1. What is the LCM of 916, 409, 229, 765?

Answer: LCM of 916, 409, 229, 765 is 286602660.

2. How to calculate the LCM of 916, 409, 229, 765?

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 916, 409, 229, 765.

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}.