Given numbers are 453,614,450,312

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

The LCM of 453,614,450,312 is 1084753800.

Find LCM of 453,614,450,312 with Prime Factorization

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

2 x 3 x 151 x 307 x 75 x 52 = 1084753800

Therefore, the lowest common multiple of 453,614,450,312 is 1084753800.

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.

453 x 614 x 450 x 312 = 39051136800

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.

453 : 1, 3, 151, 453

614 : 1, 2, 307, 614

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,614,450,312, is 1.

Now, the common factors can be found like this.

453:3x 151

614:2x 307

450:2x 3x 3x 5x 5

312:2x 2x 2x 3x 13

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 39051136800/(1x36)

LCM = 39051136800/36

LCM = 1084753800

Thus, we can understand that the LCM of 453,614,450,312 is 1084753800.

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

• LCM of 756, 147, 805, 238
• LCM of 219, 565, 603, 635
• LCM of 848, 745, 531, 197
• LCM of 912, 950, 248, 841
• LCM of 614, 680, 540, 890

1. What is the LCM of 453, 614, 450, 312?

Answer: LCM of 453, 614, 450, 312 is 1084753800.

2. How to calculate the LCM of 453, 614, 450, 312?

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 453, 614, 450, 312.

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}.