Given numbers are 730,409,164,644

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

The LCM of 730,409,164,644 is 3941721140.

Find LCM of 730,409,164,644 with Prime Factorization

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

2 x 2 x 365 x 409 x 41 x 161 = 3941721140

Therefore, the lowest common multiple of 730,409,164,644 is 3941721140.

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.

730 x 409 x 164 x 644 = 31533769120

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

409 : 1, 409

164 : 1, 2, 4, 41, 82, 164

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,409,164,644, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

409:409

164:2x 2x 41

644:2x 2x 7x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 31533769120/(1x8)

LCM = 31533769120/8

LCM = 3941721140

Thus, we can understand that the LCM of 730,409,164,644 is 3941721140.

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

• LCM of 232, 274, 501, 275
• LCM of 914, 461, 724, 431
• LCM of 589, 297, 736, 673
• LCM of 104, 532, 773, 911
• LCM of 165, 296, 179, 542

1. What is the LCM of 730, 409, 164, 644?

Answer: LCM of 730, 409, 164, 644 is 3941721140.

2. How to calculate the LCM of 730, 409, 164, 644?

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 730, 409, 164, 644.

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}.