Given numbers are 735,369,355,995,475

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

The LCM of 735,369,355,995,475 is 121346563275.

Find LCM of 735,369,355,995,475 with Prime Factorization

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

3 x 5 x 49 x 123 x 71 x 199 x 95 = 121346563275

Therefore, the lowest common multiple of 735,369,355,995,475 is 121346563275.

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 369 x 355 x 995 x 475 = 45504961228125

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

369 : 1, 3, 9, 41, 123, 369

355 : 1, 5, 71, 355

995 : 1, 5, 199, 995

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,369,355,995,475, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

369:3x 3x 41

355:5x 71

995:5x 199

475:5x 5x 19

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

3x 5x 5x 5 = 375

Therefore, the value for common factors is 375.

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 = 45504961228125/(1x375)

LCM = 45504961228125/375

LCM = 121346563275

Thus, we can understand that the LCM of 735,369,355,995,475 is 121346563275.

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

• LCM of 554, 908, 899, 541, 105
• LCM of 231, 697, 778, 821, 610
• LCM of 181, 953, 692, 614, 253
• LCM of 389, 152, 327, 387, 861
• LCM of 338, 534, 662, 271, 826

1. What is the LCM of 735, 369, 355, 995, 475?

Answer: LCM of 735, 369, 355, 995, 475 is 121346563275.

2. How to calculate the LCM of 735, 369, 355, 995, 475?

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, 369, 355, 995, 475.

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}.