Given numbers are 967,412,350,986

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

The LCM of 967,412,350,986 is 34372305100.

Find LCM of 967,412,350,986 with Prime Factorization

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

2 x 967 x 206 x 175 x 493 = 34372305100

Therefore, the lowest common multiple of 967,412,350,986 is 34372305100.

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 412 x 350 x 986 = 137489220400

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

412 : 1, 2, 4, 103, 206, 412

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,412,350,986, is 1.

Now, the common factors can be found like this.

967:967

412:2x 2x 103

350:2x 5x 5x 7

986:2x 17x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 137489220400/(1x4)

LCM = 137489220400/4

LCM = 34372305100

Thus, we can understand that the LCM of 967,412,350,986 is 34372305100.

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

• LCM of 289, 188, 715, 379
• LCM of 670, 912, 967, 848
• LCM of 203, 392, 111, 327
• LCM of 832, 800, 758, 285
• LCM of 651, 150, 856, 760

1. What is the LCM of 967, 412, 350, 986?

Answer: LCM of 967, 412, 350, 986 is 34372305100.

2. How to calculate the LCM of 967, 412, 350, 986?

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, 412, 350, 986.

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}.