Given numbers are 450,104,658,614

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

The LCM of 450,104,658,614 is 2363470200.

Find LCM of 450,104,658,614 with Prime Factorization

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

2 x 225 x 52 x 329 x 307 = 2363470200

Therefore, the lowest common multiple of 450,104,658,614 is 2363470200.

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.

450 x 104 x 658 x 614 = 18907761600

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.

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

658 : 1, 2, 7, 14, 47, 94, 329, 658

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,104,658,614, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

104:2x 2x 2x 13

658:2x 7x 47

614:2x 307

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 18907761600/(2x4)

LCM = 18907761600/8

LCM = 2363470200

Thus, we can understand that the LCM of 450,104,658,614 is 2363470200.

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

• LCM of 509, 780, 640, 600
• LCM of 318, 332, 149, 128
• LCM of 262, 190, 262, 346
• LCM of 116, 874, 175, 727
• LCM of 674, 593, 957, 905

1. What is the LCM of 450, 104, 658, 614?

Answer: LCM of 450, 104, 658, 614 is 2363470200.

2. How to calculate the LCM of 450, 104, 658, 614?

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 450, 104, 658, 614.

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}.