Given numbers are 464,121,213,880

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

The LCM of 464,121,213,880 is 59793360.

Find LCM of 464,121,213,880 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 29 x 11 x 213 x 5 = 59793360

Therefore, the lowest common multiple of 464,121,213,880 is 59793360.

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.

464 x 121 x 213 x 880 = 10523631360

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

121 : 1, 11, 121

213 : 1, 3, 71, 213

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,121,213,880, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

121:11x 11

213:3x 71

880:2x 2x 2x 2x 5x 11

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 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 10523631360/(1x176)

LCM = 10523631360/176

LCM = 59793360

Thus, we can understand that the LCM of 464,121,213,880 is 59793360.

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

• LCM of 224, 463, 893, 112
• LCM of 213, 860, 390, 228
• LCM of 244, 732, 983, 850
• LCM of 427, 380, 547, 224
• LCM of 584, 195, 424, 115

1. What is the LCM of 464, 121, 213, 880?

Answer: LCM of 464, 121, 213, 880 is 59793360.

2. How to calculate the LCM of 464, 121, 213, 880?

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 464, 121, 213, 880.

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}.