Given numbers are 915,480,225,194,764

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

The LCM of 915,480,225,194,764 is 8137058400.

Find LCM of 915,480,225,194,764 with Prime Factorization

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

2 x 2 x 3 x 5 x 61 x 8 x 15 x 97 x 191 = 8137058400

Therefore, the lowest common multiple of 915,480,225,194,764 is 8137058400.

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.

915 x 480 x 225 x 194 x 764 = 14646705120000

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.

915 : 1, 3, 5, 15, 61, 183, 305, 915

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

194 : 1, 2, 97, 194

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,480,225,194,764, is 1.

Now, the common factors can be found like this.

915:3x 5x 61

480:2x 2x 2x 2x 2x 3x 5

225:3x 3x 5x 5

194:2x 97

764:2x 2x 191

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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 14646705120000/(1x1800)

LCM = 14646705120000/1800

LCM = 8137058400

Thus, we can understand that the LCM of 915,480,225,194,764 is 8137058400.

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

• LCM of 546, 841, 795, 484, 318
• LCM of 831, 713, 355, 652, 956
• LCM of 284, 342, 553, 418, 189
• LCM of 393, 287, 540, 131, 527
• LCM of 842, 729, 401, 887, 862

1. What is the LCM of 915, 480, 225, 194, 764?

Answer: LCM of 915, 480, 225, 194, 764 is 8137058400.

2. How to calculate the LCM of 915, 480, 225, 194, 764?

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 915, 480, 225, 194, 764.

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}.