Given numbers are 507,406,708,918,285

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

The LCM of 507,406,708,918,285 is 353045789460.

Find LCM of 507,406,708,918,285 with Prime Factorization

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

2 x 3 x 169 x 203 x 118 x 153 x 95 = 353045789460

Therefore, the lowest common multiple of 507,406,708,918,285 is 353045789460.

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.

507 x 406 x 708 x 918 x 285 = 38128945261680

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.

507 : 1, 3, 13, 39, 169, 507

406 : 1, 2, 7, 14, 29, 58, 203, 406

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,406,708,918,285, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

406:2x 7x 29

708:2x 2x 3x 59

918:2x 3x 3x 3x 17

285:3x 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.

2x 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 38128945261680/(1x108)

LCM = 38128945261680/108

LCM = 353045789460

Thus, we can understand that the LCM of 507,406,708,918,285 is 353045789460.

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

• LCM of 918, 512, 434, 319, 905
• LCM of 251, 567, 338, 805, 914
• LCM of 494, 318, 468, 773, 448
• LCM of 679, 860, 984, 329, 706
• LCM of 810, 414, 747, 872, 606

1. What is the LCM of 507, 406, 708, 918, 285?

Answer: LCM of 507, 406, 708, 918, 285 is 353045789460.

2. How to calculate the LCM of 507, 406, 708, 918, 285?

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 507, 406, 708, 918, 285.

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}.