Given numbers are 520,900,250,458,524

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

The LCM of 520,900,250,458,524 is 3509883000.

Find LCM of 520,900,250,458,524 with Prime Factorization

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

2 x 2 x 5 x 5 x 26 x 9 x 5 x 229 x 131 = 3509883000

Therefore, the lowest common multiple of 520,900,250,458,524 is 3509883000.

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.

520 x 900 x 250 x 458 x 524 = 28079064000000

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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

250 : 1, 2, 5, 10, 25, 50, 125, 250

458 : 1, 2, 229, 458

524 : 1, 2, 4, 131, 262, 524

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,900,250,458,524, is 2.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

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

250:2x 5x 5x 5

458:2x 229

524:2x 2x 131

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 5x 5x 5 = 4000

Therefore, the value for common factors is 4000.

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 = 28079064000000/(2x4000)

LCM = 28079064000000/8000

LCM = 3509883000

Thus, we can understand that the LCM of 520,900,250,458,524 is 3509883000.

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

• LCM of 672, 199, 406, 934, 399
• LCM of 389, 479, 375, 892, 847
• LCM of 571, 370, 864, 810, 281
• LCM of 285, 306, 201, 837, 238
• LCM of 527, 786, 825, 240, 472

1. What is the LCM of 520, 900, 250, 458, 524?

Answer: LCM of 520, 900, 250, 458, 524 is 3509883000.

2. How to calculate the LCM of 520, 900, 250, 458, 524?

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 520, 900, 250, 458, 524.

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}.