Given numbers are 438,478,611,365

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

The LCM of 438,478,611,365 is 319803510.

Find LCM of 438,478,611,365 with Prime Factorization

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

2 x 73 x 3 x 239 x 611 x 5 = 319803510

Therefore, the lowest common multiple of 438,478,611,365 is 319803510.

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.

438 x 478 x 611 x 365 = 46691312460

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

478 : 1, 2, 239, 478

611 : 1, 13, 47, 611

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,478,611,365, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

478:2x 239

611:13x 47

365:5x 73

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 46691312460/(1x146)

LCM = 46691312460/146

LCM = 319803510

Thus, we can understand that the LCM of 438,478,611,365 is 319803510.

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

• LCM of 304, 532, 237, 218
• LCM of 419, 556, 150, 208
• LCM of 758, 211, 733, 579
• LCM of 103, 303, 581, 566
• LCM of 875, 746, 843, 899

1. What is the LCM of 438, 478, 611, 365?

Answer: LCM of 438, 478, 611, 365 is 319803510.

2. How to calculate the LCM of 438, 478, 611, 365?

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 438, 478, 611, 365.

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}.