Given numbers are 974,305,635,407

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

The LCM of 974,305,635,407 is 15355251230.

Find LCM of 974,305,635,407 with Prime Factorization

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

5 x 974 x 61 x 127 x 407 = 15355251230

Therefore, the lowest common multiple of 974,305,635,407 is 15355251230.

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 305 x 635 x 407 = 76776256150

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

305 : 1, 5, 61, 305

635 : 1, 5, 127, 635

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,305,635,407, is 1.

Now, the common factors can be found like this.

974:2x 487

305:5x 61

635:5x 127

407:11x 37

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 = 76776256150/(1x5)

LCM = 76776256150/5

LCM = 15355251230

Thus, we can understand that the LCM of 974,305,635,407 is 15355251230.

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

• LCM of 592, 434, 175, 868
• LCM of 734, 730, 717, 642
• LCM of 426, 946, 788, 433
• LCM of 966, 540, 287, 878
• LCM of 773, 514, 999, 832

1. What is the LCM of 974, 305, 635, 407?

Answer: LCM of 974, 305, 635, 407 is 15355251230.

2. How to calculate the LCM of 974, 305, 635, 407?

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, 305, 635, 407.

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}.