Given numbers are 420,207,206,458,454

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

The LCM of 420,207,206,458,454 is 155166136020.

Find LCM of 420,207,206,458,454 with Prime Factorization

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

2 x 3 x 70 x 69 x 103 x 229 x 227 = 155166136020

Therefore, the lowest common multiple of 420,207,206,458,454 is 155166136020.

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.

420 x 207 x 206 x 458 x 454 = 3723987264480

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

207 : 1, 3, 9, 23, 69, 207

206 : 1, 2, 103, 206

458 : 1, 2, 229, 458

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,207,206,458,454, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

207:3x 3x 23

206:2x 103

458:2x 229

454:2x 227

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 3723987264480/(1x24)

LCM = 3723987264480/24

LCM = 155166136020

Thus, we can understand that the LCM of 420,207,206,458,454 is 155166136020.

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

• LCM of 222, 988, 969, 772, 819
• LCM of 227, 815, 218, 751, 697
• LCM of 532, 242, 212, 631, 191
• LCM of 281, 851, 638, 236, 386
• LCM of 846, 453, 289, 361, 118

1. What is the LCM of 420, 207, 206, 458, 454?

Answer: LCM of 420, 207, 206, 458, 454 is 155166136020.

2. How to calculate the LCM of 420, 207, 206, 458, 454?

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 420, 207, 206, 458, 454.

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}.