Given numbers are 461,42,446,164

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

The LCM of 461,42,446,164 is 354053532.

Find LCM of 461,42,446,164 with Prime Factorization

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

2 x 461 x 21 x 223 x 82 = 354053532

Therefore, the lowest common multiple of 461,42,446,164 is 354053532.

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.

461 x 42 x 446 x 164 = 1416214128

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.

461 : 1, 461

42 : 1, 2, 3, 6, 7, 14, 21, 42

446 : 1, 2, 223, 446

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,42,446,164, is 1.

Now, the common factors can be found like this.

461:461

42:2x 3x 7

446:2x 223

164:2x 2x 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 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 = 1416214128/(1x4)

LCM = 1416214128/4

LCM = 354053532

Thus, we can understand that the LCM of 461,42,446,164 is 354053532.

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

• LCM of 118, 81, 518, 143
• LCM of 798, 63, 254, 161
• LCM of 172, 74, 835, 603
• LCM of 569, 46, 113, 237
• LCM of 252, 61, 456, 901

1. What is the LCM of 461, 42, 446, 164?

Answer: LCM of 461, 42, 446, 164 is 354053532.

2. How to calculate the LCM of 461, 42, 446, 164?

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 461, 42, 446, 164.

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}.