Given numbers are 103,314,202,454,464

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

The LCM of 103,314,202,454,464 is 172029167888.

Find LCM of 103,314,202,454,464 with Prime Factorization

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

2 x 103 x 157 x 101 x 227 x 232 = 172029167888

Therefore, the lowest common multiple of 103,314,202,454,464 is 172029167888.

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.

103 x 314 x 202 x 454 x 464 = 1376233343104

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.

103 : 1, 103

314 : 1, 2, 157, 314

202 : 1, 2, 101, 202

454 : 1, 2, 227, 454

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,314,202,454,464, is 1.

Now, the common factors can be found like this.

103:103

314:2x 157

202:2x 101

454:2x 227

464:2x 2x 2x 2x 29

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1376233343104/(1x8)

LCM = 1376233343104/8

LCM = 172029167888

Thus, we can understand that the LCM of 103,314,202,454,464 is 172029167888.

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

• LCM of 431, 646, 965, 797, 763
• LCM of 641, 482, 169, 579, 288
• LCM of 607, 874, 144, 348, 135
• LCM of 941, 558, 403, 516, 979
• LCM of 279, 504, 932, 395, 517

1. What is the LCM of 103, 314, 202, 454, 464?

Answer: LCM of 103, 314, 202, 454, 464 is 172029167888.

2. How to calculate the LCM of 103, 314, 202, 454, 464?

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 103, 314, 202, 454, 464.

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}.