Given numbers are 735,236,327,563

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

The LCM of 735,236,327,563 is 10644719820.

Find LCM of 735,236,327,563 with Prime Factorization

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

3 x 245 x 236 x 109 x 563 = 10644719820

Therefore, the lowest common multiple of 735,236,327,563 is 10644719820.

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.

735 x 236 x 327 x 563 = 31934159460

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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

327 : 1, 3, 109, 327

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,236,327,563, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

236:2x 2x 59

327:3x 109

563:563

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

3 = 3

Therefore, the value for common factors is 3.

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 = 31934159460/(1x3)

LCM = 31934159460/3

LCM = 10644719820

Thus, we can understand that the LCM of 735,236,327,563 is 10644719820.

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

• LCM of 397, 855, 888, 392
• LCM of 381, 291, 971, 328
• LCM of 363, 144, 947, 238
• LCM of 638, 291, 768, 564
• LCM of 370, 777, 448, 500

1. What is the LCM of 735, 236, 327, 563?

Answer: LCM of 735, 236, 327, 563 is 10644719820.

2. How to calculate the LCM of 735, 236, 327, 563?

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 735, 236, 327, 563.

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}.