Given numbers are 597,387,771,217,688

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

The LCM of 597,387,771,217,688 is 68719007952.

Find LCM of 597,387,771,217,688 with Prime Factorization

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

3 x 43 x 199 x 3 x 257 x 217 x 16 = 68719007952

Therefore, the lowest common multiple of 597,387,771,217,688 is 68719007952.

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 387 x 771 x 217 x 688 = 26594256077424

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

387 : 1, 3, 9, 43, 129, 387

771 : 1, 3, 257, 771

217 : 1, 7, 31, 217

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,387,771,217,688, is 1.

Now, the common factors can be found like this.

597:3x 199

387:3x 3x 43

771:3x 257

217:7x 31

688:2x 2x 2x 2x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 43 = 387

Therefore, the value for common factors is 387.

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 = 26594256077424/(1x387)

LCM = 26594256077424/387

LCM = 68719007952

Thus, we can understand that the LCM of 597,387,771,217,688 is 68719007952.

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

• LCM of 767, 600, 635, 514, 309
• LCM of 225, 688, 602, 162, 903
• LCM of 864, 878, 371, 101, 712
• LCM of 587, 517, 880, 807, 519
• LCM of 355, 628, 504, 591, 760

1. What is the LCM of 597, 387, 771, 217, 688?

Answer: LCM of 597, 387, 771, 217, 688 is 68719007952.

2. How to calculate the LCM of 597, 387, 771, 217, 688?

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, 387, 771, 217, 688.

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}.