Given numbers are 597,138,414,690,323

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

The LCM of 597,138,414,690,323 is 133053390.

Find LCM of 597,138,414,690,323 with Prime Factorization

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

2 x 3 x 23 x 199 x 1 x 3 x 5 x 323 = 133053390

Therefore, the lowest common multiple of 597,138,414,690,323 is 133053390.

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 138 x 414 x 690 x 323 = 7601606277480

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,138,414,690,323, is 1.

Now, the common factors can be found like this.

597:3x 199

138:2x 3x 23

414:2x 3x 3x 23

690:2x 3x 5x 23

323:17x 19

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 3x 3x 3x 23x 23 = 57132

Therefore, the value for common factors is 57132.

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 = 7601606277480/(1x57132)

LCM = 7601606277480/57132

LCM = 133053390

Thus, we can understand that the LCM of 597,138,414,690,323 is 133053390.

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

• LCM of 303, 809, 754, 477, 932
• LCM of 793, 340, 621, 383, 695
• LCM of 605, 451, 964, 227, 127
• LCM of 644, 719, 607, 607, 662
• LCM of 804, 437, 913, 106, 290

1. What is the LCM of 597, 138, 414, 690, 323?

Answer: LCM of 597, 138, 414, 690, 323 is 133053390.

2. How to calculate the LCM of 597, 138, 414, 690, 323?

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, 138, 414, 690, 323.

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}.