Given numbers are 390,532,551,134,961

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

The LCM of 390,532,551,134,961 is 193705714020.

Find LCM of 390,532,551,134,961 with Prime Factorization

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

2 x 19 x 195 x 14 x 29 x 67 x 961 = 193705714020

Therefore, the lowest common multiple of 390,532,551,134,961 is 193705714020.

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.

390 x 532 x 551 x 134 x 961 = 14721634265520

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

551 : 1, 19, 29, 551

134 : 1, 2, 67, 134

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,532,551,134,961, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

532:2x 2x 7x 19

551:19x 29

134:2x 67

961:31x 31

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 19 = 76

Therefore, the value for common factors is 76.

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 = 14721634265520/(1x76)

LCM = 14721634265520/76

LCM = 193705714020

Thus, we can understand that the LCM of 390,532,551,134,961 is 193705714020.

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

• LCM of 301, 902, 111, 425, 356
• LCM of 626, 109, 978, 746, 591
• LCM of 438, 680, 593, 695, 398
• LCM of 325, 840, 627, 149, 583
• LCM of 390, 868, 714, 448, 137

1. What is the LCM of 390, 532, 551, 134, 961?

Answer: LCM of 390, 532, 551, 134, 961 is 193705714020.

2. How to calculate the LCM of 390, 532, 551, 134, 961?

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 390, 532, 551, 134, 961.

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}.