Given numbers are 742,838,709,370,324

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

The LCM of 742,838,709,370,324 is 6606187659540.

Find LCM of 742,838,709,370,324 with Prime Factorization

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

2 x 371 x 419 x 709 x 185 x 162 = 6606187659540

Therefore, the lowest common multiple of 742,838,709,370,324 is 6606187659540.

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 838 x 709 x 370 x 324 = 52849501276320

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

838 : 1, 2, 419, 838

709 : 1, 709

370 : 1, 2, 5, 10, 37, 74, 185, 370

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,838,709,370,324, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

838:2x 419

709:709

370:2x 5x 37

324:2x 2x 3x 3x 3x 3

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 2 = 8

Therefore, the value for common factors is 8.

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 = 52849501276320/(1x8)

LCM = 52849501276320/8

LCM = 6606187659540

Thus, we can understand that the LCM of 742,838,709,370,324 is 6606187659540.

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

• LCM of 375, 164, 693, 476, 542
• LCM of 262, 984, 620, 227, 763
• LCM of 288, 504, 417, 732, 144
• LCM of 320, 571, 691, 160, 147
• LCM of 203, 326, 830, 184, 204

1. What is the LCM of 742, 838, 709, 370, 324?

Answer: LCM of 742, 838, 709, 370, 324 is 6606187659540.

2. How to calculate the LCM of 742, 838, 709, 370, 324?

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, 838, 709, 370, 324.

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}.