Given numbers are 572,235,147,414

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

The LCM of 572,235,147,414 is 1363422060.

Find LCM of 572,235,147,414 with Prime Factorization

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

2 x 3 x 286 x 235 x 49 x 69 = 1363422060

Therefore, the lowest common multiple of 572,235,147,414 is 1363422060.

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.

572 x 235 x 147 x 414 = 8180532360

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

235 : 1, 5, 47, 235

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,235,147,414, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

235:5x 47

147:3x 7x 7

414:2x 3x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 8180532360/(1x6)

LCM = 8180532360/6

LCM = 1363422060

Thus, we can understand that the LCM of 572,235,147,414 is 1363422060.

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

• LCM of 684, 237, 355, 365
• LCM of 202, 152, 721, 716
• LCM of 545, 472, 818, 398
• LCM of 215, 606, 636, 500
• LCM of 277, 229, 996, 528

1. What is the LCM of 572, 235, 147, 414?

Answer: LCM of 572, 235, 147, 414 is 1363422060.

2. How to calculate the LCM of 572, 235, 147, 414?

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 572, 235, 147, 414.

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}.