Given numbers are 967,549,136,414

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

The LCM of 967,549,136,414 is 1660602024.

Find LCM of 967,549,136,414 with Prime Factorization

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

2 x 3 x 3 x 967 x 61 x 68 x 23 = 1660602024

Therefore, the lowest common multiple of 967,549,136,414 is 1660602024.

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 549 x 136 x 414 = 29890836432

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

549 : 1, 3, 9, 61, 183, 549

136 : 1, 2, 4, 8, 17, 34, 68, 136

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,549,136,414, is 1.

Now, the common factors can be found like this.

967:967

549:3x 3x 61

136:2x 2x 2x 17

414:2x 3x 3x 23

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 29890836432/(1x18)

LCM = 29890836432/18

LCM = 1660602024

Thus, we can understand that the LCM of 967,549,136,414 is 1660602024.

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

• LCM of 384, 327, 197, 151
• LCM of 723, 945, 350, 871
• LCM of 979, 662, 606, 261
• LCM of 269, 847, 900, 207
• LCM of 731, 282, 876, 854

1. What is the LCM of 967, 549, 136, 414?

Answer: LCM of 967, 549, 136, 414 is 1660602024.

2. How to calculate the LCM of 967, 549, 136, 414?

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, 549, 136, 414.

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}.