Given numbers are 535,701,214,520,312

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

The LCM of 535,701,214,520,312 is 117010920.

Find LCM of 535,701,214,520,312 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 107 x 1 x 701 x 1 x 1 x 3 = 117010920

Therefore, the lowest common multiple of 535,701,214,520,312 is 117010920.

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.

535 x 701 x 214 x 520 x 312 = 13020975177600

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.

535 : 1, 5, 107, 535

701 : 1, 701

214 : 1, 2, 107, 214

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,701,214,520,312, is 1.

Now, the common factors can be found like this.

535:5x 107

701:701

214:2x 107

520:2x 2x 2x 5x 13

312:2x 2x 2x 3x 13

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 5x 13x 107 = 111280

Therefore, the value for common factors is 111280.

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 = 13020975177600/(1x111280)

LCM = 13020975177600/111280

LCM = 117010920

Thus, we can understand that the LCM of 535,701,214,520,312 is 117010920.

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

• LCM of 905, 650, 856, 779, 827
• LCM of 781, 911, 530, 682, 919
• LCM of 897, 832, 831, 332, 565
• LCM of 180, 832, 695, 130, 812
• LCM of 997, 407, 398, 225, 730

1. What is the LCM of 535, 701, 214, 520, 312?

Answer: LCM of 535, 701, 214, 520, 312 is 117010920.

2. How to calculate the LCM of 535, 701, 214, 520, 312?

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 535, 701, 214, 520, 312.

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}.