Given numbers are 742,932,378,584,413

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

The LCM of 742,932,378,584,413 is 80418960216.

Find LCM of 742,932,378,584,413 with Prime Factorization

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

2 x 2 x 7 x 53 x 233 x 27 x 146 x 59 = 80418960216

Therefore, the lowest common multiple of 742,932,378,584,413 is 80418960216.

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.

742 x 932 x 378 x 584 x 413 = 63048464809344

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.

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

932 : 1, 2, 4, 233, 466, 932

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

584 : 1, 2, 4, 8, 73, 146, 292, 584

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,932,378,584,413, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

932:2x 2x 233

378:2x 3x 3x 3x 7

584:2x 2x 2x 73

413:7x 59

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 63048464809344/(1x784)

LCM = 63048464809344/784

LCM = 80418960216

Thus, we can understand that the LCM of 742,932,378,584,413 is 80418960216.

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

• LCM of 327, 544, 204, 321, 299
• LCM of 664, 900, 343, 544, 190
• LCM of 599, 876, 564, 262, 113
• LCM of 290, 741, 111, 322, 526
• LCM of 830, 753, 312, 314, 138

1. What is the LCM of 742, 932, 378, 584, 413?

Answer: LCM of 742, 932, 378, 584, 413 is 80418960216.

2. How to calculate the LCM of 742, 932, 378, 584, 413?

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 742, 932, 378, 584, 413.

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}.