Given numbers are 961,164,214,574

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

The LCM of 961,164,214,574 is 118045396.

Find LCM of 961,164,214,574 with Prime Factorization

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

2 x 41 x 961 x 2 x 107 x 7 = 118045396

Therefore, the lowest common multiple of 961,164,214,574 is 118045396.

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.

961 x 164 x 214 x 574 = 19359444944

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.

961 : 1, 31, 961

164 : 1, 2, 4, 41, 82, 164

214 : 1, 2, 107, 214

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,164,214,574, is 1.

Now, the common factors can be found like this.

961:31x 31

164:2x 2x 41

214:2x 107

574:2x 7x 41

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 41 = 164

Therefore, the value for common factors is 164.

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 = 19359444944/(1x164)

LCM = 19359444944/164

LCM = 118045396

Thus, we can understand that the LCM of 961,164,214,574 is 118045396.

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

• LCM of 381, 381, 476, 338
• LCM of 408, 828, 844, 165
• LCM of 420, 902, 683, 159
• LCM of 237, 279, 766, 334
• LCM of 834, 667, 323, 242

1. What is the LCM of 961, 164, 214, 574?

Answer: LCM of 961, 164, 214, 574 is 118045396.

2. How to calculate the LCM of 961, 164, 214, 574?

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 961, 164, 214, 574.

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}.