Given numbers are 387,409,903,688

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

The LCM of 387,409,903,688 is 17727696.

Find LCM of 387,409,903,688 with Prime Factorization

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

3 x 43 x 3 x 409 x 7 x 16 = 17727696

Therefore, the lowest common multiple of 387,409,903,688 is 17727696.

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.

387 x 409 x 903 x 688 = 98335529712

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.

387 : 1, 3, 9, 43, 129, 387

409 : 1, 409

903 : 1, 3, 7, 21, 43, 129, 301, 903

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,409,903,688, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

409:409

903:3x 7x 43

688:2x 2x 2x 2x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 43x 43 = 5547

Therefore, the value for common factors is 5547.

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 = 98335529712/(1x5547)

LCM = 98335529712/5547

LCM = 17727696

Thus, we can understand that the LCM of 387,409,903,688 is 17727696.

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

• LCM of 799, 351, 323, 283
• LCM of 516, 329, 825, 797
• LCM of 109, 198, 868, 809
• LCM of 748, 577, 650, 783
• LCM of 604, 936, 789, 831

1. What is the LCM of 387, 409, 903, 688?

Answer: LCM of 387, 409, 903, 688 is 17727696.

2. How to calculate the LCM of 387, 409, 903, 688?

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 387, 409, 903, 688.

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}.