Given numbers are 302,535,414,974,708

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

The LCM of 302,535,414,974,708 is 1921949795340.

Find LCM of 302,535,414,974,708 with Prime Factorization

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

2 x 3 x 151 x 535 x 69 x 487 x 118 = 1921949795340

Therefore, the lowest common multiple of 302,535,414,974,708 is 1921949795340.

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.

302 x 535 x 414 x 974 x 708 = 46126795088160

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.

302 : 1, 2, 151, 302

535 : 1, 5, 107, 535

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

974 : 1, 2, 487, 974

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,535,414,974,708, is 1.

Now, the common factors can be found like this.

302:2x 151

535:5x 107

414:2x 3x 3x 23

974:2x 487

708:2x 2x 3x 59

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 3 = 24

Therefore, the value for common factors is 24.

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 = 46126795088160/(1x24)

LCM = 46126795088160/24

LCM = 1921949795340

Thus, we can understand that the LCM of 302,535,414,974,708 is 1921949795340.

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

• LCM of 651, 510, 916, 864, 669
• LCM of 731, 111, 355, 881, 332
• LCM of 739, 831, 264, 752, 844
• LCM of 770, 618, 223, 447, 805
• LCM of 986, 145, 304, 837, 573

1. What is the LCM of 302, 535, 414, 974, 708?

Answer: LCM of 302, 535, 414, 974, 708 is 1921949795340.

2. How to calculate the LCM of 302, 535, 414, 974, 708?

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 302, 535, 414, 974, 708.

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}.