Given numbers are 460,416,251,164

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

The LCM of 460,416,251,164 is 492321440.

Find LCM of 460,416,251,164 with Prime Factorization

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

2 x 2 x 115 x 104 x 251 x 41 = 492321440

Therefore, the lowest common multiple of 460,416,251,164 is 492321440.

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.

460 x 416 x 251 x 164 = 7877143040

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

251 : 1, 251

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 460,416,251,164, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

416:2x 2x 2x 2x 2x 13

251:251

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 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 7877143040/(1x16)

LCM = 7877143040/16

LCM = 492321440

Thus, we can understand that the LCM of 460,416,251,164 is 492321440.

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

• LCM of 362, 887, 969, 484
• LCM of 492, 598, 727, 948
• LCM of 489, 845, 566, 959
• LCM of 645, 538, 599, 105
• LCM of 782, 111, 892, 709

1. What is the LCM of 460, 416, 251, 164?

Answer: LCM of 460, 416, 251, 164 is 492321440.

2. How to calculate the LCM of 460, 416, 251, 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 460, 416, 251, 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}.