Given numbers are 597,327,688,742,374

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

The LCM of 597,327,688,742,374 is 3106023830448.

Find LCM of 597,327,688,742,374 with Prime Factorization

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

2 x 3 x 199 x 109 x 344 x 371 x 187 = 3106023830448

Therefore, the lowest common multiple of 597,327,688,742,374 is 3106023830448.

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.

597 x 327 x 688 x 742 x 374 = 37272285965376

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.

597 : 1, 3, 199, 597

327 : 1, 3, 109, 327

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

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,327,688,742,374, is 1.

Now, the common factors can be found like this.

597:3x 199

327:3x 109

688:2x 2x 2x 2x 43

742:2x 7x 53

374:2x 11x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 37272285965376/(1x12)

LCM = 37272285965376/12

LCM = 3106023830448

Thus, we can understand that the LCM of 597,327,688,742,374 is 3106023830448.

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

• LCM of 932, 385, 965, 283, 592
• LCM of 264, 697, 957, 788, 870
• LCM of 211, 808, 296, 269, 988
• LCM of 737, 823, 362, 217, 198
• LCM of 997, 365, 728, 491, 190

1. What is the LCM of 597, 327, 688, 742, 374?

Answer: LCM of 597, 327, 688, 742, 374 is 3106023830448.

2. How to calculate the LCM of 597, 327, 688, 742, 374?

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 597, 327, 688, 742, 374.

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}.