Given numbers are 967,608,855,408,119

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

The LCM of 967,608,855,408,119 is 3148397280.

Find LCM of 967,608,855,408,119 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 19 x 967 x 4 x 15 x 1 x 7 = 3148397280

Therefore, the lowest common multiple of 967,608,855,408,119 is 3148397280.

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.

967 x 608 x 855 x 408 x 119 = 24406375714560

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.

967 : 1, 967

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,608,855,408,119, is 1.

Now, the common factors can be found like this.

967:967

608:2x 2x 2x 2x 2x 19

855:3x 3x 5x 19

408:2x 2x 2x 3x 17

119:7x 17

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 3x 17x 19 = 7752

Therefore, the value for common factors is 7752.

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 = 24406375714560/(1x7752)

LCM = 24406375714560/7752

LCM = 3148397280

Thus, we can understand that the LCM of 967,608,855,408,119 is 3148397280.

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

• LCM of 575, 967, 186, 342, 467
• LCM of 812, 398, 885, 199, 262
• LCM of 195, 370, 731, 718, 440
• LCM of 137, 379, 951, 115, 234
• LCM of 732, 788, 918, 384, 640

1. What is the LCM of 967, 608, 855, 408, 119?

Answer: LCM of 967, 608, 855, 408, 119 is 3148397280.

2. How to calculate the LCM of 967, 608, 855, 408, 119?

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 967, 608, 855, 408, 119.

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}.