Given numbers are 225,260,945,519,345

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

The LCM of 225,260,945,519,345 is 977640300.

Find LCM of 225,260,945,519,345 with Prime Factorization

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

3 x 3 x 5 x 5 x 52 x 21 x 173 x 23 = 977640300

Therefore, the lowest common multiple of 225,260,945,519,345 is 977640300.

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.

225 x 260 x 945 x 519 x 345 = 9898608037500

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.

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

519 : 1, 3, 173, 519

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,260,945,519,345, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

260:2x 2x 5x 13

945:3x 3x 3x 5x 7

519:3x 173

345:3x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 3x 5x 5x 5 = 10125

Therefore, the value for common factors is 10125.

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 = 9898608037500/(1x10125)

LCM = 9898608037500/10125

LCM = 977640300

Thus, we can understand that the LCM of 225,260,945,519,345 is 977640300.

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

• LCM of 718, 326, 182, 916, 224
• LCM of 428, 971, 628, 189, 962
• LCM of 572, 319, 866, 835, 928
• LCM of 810, 934, 906, 298, 608
• LCM of 972, 480, 780, 151, 870

1. What is the LCM of 225, 260, 945, 519, 345?

Answer: LCM of 225, 260, 945, 519, 345 is 977640300.

2. How to calculate the LCM of 225, 260, 945, 519, 345?

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 225, 260, 945, 519, 345.

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}.