Given numbers are 974,332,516,690,720

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

The LCM of 974,332,516,690,720 is 28782985680.

Find LCM of 974,332,516,690,720 with Prime Factorization

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

2 x 2 x 3 x 5 x 487 x 83 x 43 x 23 x 12 = 28782985680

Therefore, the lowest common multiple of 974,332,516,690,720 is 28782985680.

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.

974 x 332 x 516 x 690 x 720 = 82894998758400

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.

974 : 1, 2, 487, 974

332 : 1, 2, 4, 83, 166, 332

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,332,516,690,720, is 2.

Now, the common factors can be found like this.

974:2x 487

332:2x 2x 83

516:2x 2x 3x 43

690:2x 3x 5x 23

720:2x 2x 2x 2x 3x 3x 5

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 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 82894998758400/(2x1440)

LCM = 82894998758400/2880

LCM = 28782985680

Thus, we can understand that the LCM of 974,332,516,690,720 is 28782985680.

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

• LCM of 307, 455, 384, 274, 325
• LCM of 976, 446, 243, 331, 714
• LCM of 589, 641, 308, 679, 168
• LCM of 455, 855, 771, 634, 469
• LCM of 342, 621, 389, 976, 567

1. What is the LCM of 974, 332, 516, 690, 720?

Answer: LCM of 974, 332, 516, 690, 720 is 28782985680.

2. How to calculate the LCM of 974, 332, 516, 690, 720?

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 974, 332, 516, 690, 720.

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}.