Given numbers are 504,236,361,399,525

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

The LCM of 504,236,361,399,525 is 268367400.

Find LCM of 504,236,361,399,525 with Prime Factorization

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

2 x 2 x 3 x 7 x 19 x 6 x 59 x 1 x 19 x 25 = 268367400

Therefore, the lowest common multiple of 504,236,361,399,525 is 268367400.

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.

504 x 236 x 361 x 399 x 525 = 8994601778400

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

236 : 1, 2, 4, 59, 118, 236

361 : 1, 19, 361

399 : 1, 3, 7, 19, 21, 57, 133, 399

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,236,361,399,525, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

236:2x 2x 59

361:19x 19

399:3x 7x 19

525:3x 5x 5x 7

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 3x 3x 7x 7x 19 = 33516

Therefore, the value for common factors is 33516.

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 = 8994601778400/(1x33516)

LCM = 8994601778400/33516

LCM = 268367400

Thus, we can understand that the LCM of 504,236,361,399,525 is 268367400.

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

• LCM of 993, 641, 978, 760, 400
• LCM of 539, 563, 553, 868, 579
• LCM of 693, 958, 435, 974, 185
• LCM of 646, 311, 771, 779, 743
• LCM of 711, 452, 103, 129, 765

1. What is the LCM of 504, 236, 361, 399, 525?

Answer: LCM of 504, 236, 361, 399, 525 is 268367400.

2. How to calculate the LCM of 504, 236, 361, 399, 525?

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 504, 236, 361, 399, 525.

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}.