Given numbers are 616,290,409,742

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

The LCM of 616,290,409,742 is 1936189640.

Find LCM of 616,290,409,742 with Prime Factorization

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

2 x 7 x 44 x 145 x 409 x 53 = 1936189640

Therefore, the lowest common multiple of 616,290,409,742 is 1936189640.

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.

616 x 290 x 409 x 742 = 54213309920

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

290 : 1, 2, 5, 10, 29, 58, 145, 290

409 : 1, 409

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,290,409,742, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

290:2x 5x 29

409:409

742:2x 7x 53

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 7 = 28

Therefore, the value for common factors is 28.

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 = 54213309920/(1x28)

LCM = 54213309920/28

LCM = 1936189640

Thus, we can understand that the LCM of 616,290,409,742 is 1936189640.

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

• LCM of 976, 964, 408, 596
• LCM of 728, 642, 541, 339
• LCM of 234, 747, 184, 418
• LCM of 849, 528, 332, 233
• LCM of 200, 748, 196, 868

1. What is the LCM of 616, 290, 409, 742?

Answer: LCM of 616, 290, 409, 742 is 1936189640.

2. How to calculate the LCM of 616, 290, 409, 742?

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 616, 290, 409, 742.

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}.