Given numbers are 408,107,682,939,740

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

The LCM of 408,107,682,939,740 is 862014131880.

Find LCM of 408,107,682,939,740 with Prime Factorization

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

2 x 2 x 3 x 34 x 107 x 341 x 313 x 185 = 862014131880

Therefore, the lowest common multiple of 408,107,682,939,740 is 862014131880.

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.

408 x 107 x 682 x 939 x 740 = 20688339165120

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

107 : 1, 107

682 : 1, 2, 11, 22, 31, 62, 341, 682

939 : 1, 3, 313, 939

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,107,682,939,740, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

107:107

682:2x 11x 31

939:3x 313

740:2x 2x 5x 37

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 = 20688339165120/(1x24)

LCM = 20688339165120/24

LCM = 862014131880

Thus, we can understand that the LCM of 408,107,682,939,740 is 862014131880.

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

• LCM of 233, 702, 524, 730, 133
• LCM of 677, 339, 397, 340, 611
• LCM of 811, 209, 210, 105, 780
• LCM of 135, 171, 441, 754, 819
• LCM of 647, 743, 952, 926, 405

1. What is the LCM of 408, 107, 682, 939, 740?

Answer: LCM of 408, 107, 682, 939, 740 is 862014131880.

2. How to calculate the LCM of 408, 107, 682, 939, 740?

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 408, 107, 682, 939, 740.

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}.