Given numbers are 967,35,355

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

The LCM of 967,35,355 is 2402995.

Find LCM of 967,35,355 with Prime Factorization

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

5 x 967 x 7 x 71 = 2402995

Therefore, the lowest common multiple of 967,35,355 is 2402995.

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 35 x 355 = 12014975

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

35 : 1, 5, 7, 35

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,35,355, is 1.

Now, the common factors can be found like this.

967:967

35:5x 7

355:5x 71

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

5 = 5

Therefore, the value for common factors is 5.

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 = 12014975/(1x5)

LCM = 12014975/5

LCM = 2402995

Thus, we can understand that the LCM of 967,35,355 is 2402995.

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

• LCM of 985, 62, 625
• LCM of 824, 69, 235
• LCM of 105, 95, 428
• LCM of 762, 12, 576
• LCM of 716, 45, 107

1. What is the LCM of 967, 35, 355?

Answer: LCM of 967, 35, 355 is 2402995.

2. How to calculate the LCM of 967, 35, 355?

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, 35, 355.

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}.