Given numbers are 256,490,225,910,121

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

The LCM of 256,490,225,910,121 is 4439635200.

Find LCM of 256,490,225,910,121 with Prime Factorization

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

2 x 5 x 7 x 128 x 7 x 45 x 13 x 121 = 4439635200

Therefore, the lowest common multiple of 256,490,225,910,121 is 4439635200.

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.

256 x 490 x 225 x 910 x 121 = 3107744640000

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.

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,490,225,910,121, is 1.

Now, the common factors can be found like this.

256:2x 2x 2x 2x 2x 2x 2x 2

490:2x 5x 7x 7

225:3x 3x 5x 5

910:2x 5x 7x 13

121:11x 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 5x 5x 7 = 700

Therefore, the value for common factors is 700.

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 = 3107744640000/(1x700)

LCM = 3107744640000/700

LCM = 4439635200

Thus, we can understand that the LCM of 256,490,225,910,121 is 4439635200.

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

• LCM of 752, 765, 510, 592, 892
• LCM of 977, 693, 227, 992, 303
• LCM of 774, 412, 448, 213, 389
• LCM of 736, 403, 550, 685, 253
• LCM of 899, 559, 354, 132, 665

1. What is the LCM of 256, 490, 225, 910, 121?

Answer: LCM of 256, 490, 225, 910, 121 is 4439635200.

2. How to calculate the LCM of 256, 490, 225, 910, 121?

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 256, 490, 225, 910, 121.

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}.