Given numbers are 400,147,291,447,359

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

The LCM of 400,147,291,447,359 is 305091267600.

Find LCM of 400,147,291,447,359 with Prime Factorization

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

3 x 400 x 49 x 97 x 149 x 359 = 305091267600

Therefore, the lowest common multiple of 400,147,291,447,359 is 305091267600.

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.

400 x 147 x 291 x 447 x 359 = 2745821408400

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

147 : 1, 3, 7, 21, 49, 147

291 : 1, 3, 97, 291

447 : 1, 3, 149, 447

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,147,291,447,359, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

147:3x 7x 7

291:3x 97

447:3x 149

359:359

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 2745821408400/(1x9)

LCM = 2745821408400/9

LCM = 305091267600

Thus, we can understand that the LCM of 400,147,291,447,359 is 305091267600.

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

• LCM of 765, 631, 574, 162, 260
• LCM of 870, 121, 205, 399, 113
• LCM of 208, 421, 368, 342, 545
• LCM of 199, 125, 928, 897, 298
• LCM of 262, 315, 286, 413, 172

1. What is the LCM of 400, 147, 291, 447, 359?

Answer: LCM of 400, 147, 291, 447, 359 is 305091267600.

2. How to calculate the LCM of 400, 147, 291, 447, 359?

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 400, 147, 291, 447, 359.

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}.