Given numbers are 293,896,484,908,900

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

The LCM of 293,896,484,908,900 is 1622442729600.

Find LCM of 293,896,484,908,900 with Prime Factorization

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

2 x 2 x 293 x 224 x 121 x 227 x 225 = 1622442729600

Therefore, the lowest common multiple of 293,896,484,908,900 is 1622442729600.

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.

293 x 896 x 484 x 908 x 900 = 103836334694400

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.

293 : 1, 293

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

908 : 1, 2, 4, 227, 454, 908

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,896,484,908,900, is 1.

Now, the common factors can be found like this.

293:293

896:2x 2x 2x 2x 2x 2x 2x 7

484:2x 2x 11x 11

908:2x 2x 227

900:2x 2x 3x 3x 5x 5

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 103836334694400/(1x64)

LCM = 103836334694400/64

LCM = 1622442729600

Thus, we can understand that the LCM of 293,896,484,908,900 is 1622442729600.

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

• LCM of 982, 424, 575, 309, 116
• LCM of 225, 802, 629, 546, 128
• LCM of 270, 190, 124, 624, 213
• LCM of 687, 135, 355, 798, 302
• LCM of 303, 654, 458, 241, 152

1. What is the LCM of 293, 896, 484, 908, 900?

Answer: LCM of 293, 896, 484, 908, 900 is 1622442729600.

2. How to calculate the LCM of 293, 896, 484, 908, 900?

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 293, 896, 484, 908, 900.

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}.