Given numbers are 735,319,545,857

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

The LCM of 735,319,545,857 is 21902079045.

Find LCM of 735,319,545,857 with Prime Factorization

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

5 x 147 x 319 x 109 x 857 = 21902079045

Therefore, the lowest common multiple of 735,319,545,857 is 21902079045.

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 319 x 545 x 857 = 109510395225

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

319 : 1, 11, 29, 319

545 : 1, 5, 109, 545

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,319,545,857, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

319:11x 29

545:5x 109

857:857

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

5 = 5

Therefore, the value for common factors is 5.

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 = 109510395225/(1x5)

LCM = 109510395225/5

LCM = 21902079045

Thus, we can understand that the LCM of 735,319,545,857 is 21902079045.

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

• LCM of 994, 395, 182, 827
• LCM of 849, 588, 569, 826
• LCM of 165, 369, 315, 856
• LCM of 875, 286, 691, 941
• LCM of 266, 436, 332, 267

1. What is the LCM of 735, 319, 545, 857?

Answer: LCM of 735, 319, 545, 857 is 21902079045.

2. How to calculate the LCM of 735, 319, 545, 857?

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, 319, 545, 857.

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}.