Given numbers are 301,497,269,560,387

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

The LCM of 301,497,269,560,387 is 4139135280.

Find LCM of 301,497,269,560,387 with Prime Factorization

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

7 x 43 x 1 x 71 x 269 x 80 x 9 = 4139135280

Therefore, the lowest common multiple of 301,497,269,560,387 is 4139135280.

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.

301 x 497 x 269 x 560 x 387 = 8721158034960

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.

301 : 1, 7, 43, 301

497 : 1, 7, 71, 497

269 : 1, 269

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,497,269,560,387, is 1.

Now, the common factors can be found like this.

301:7x 43

497:7x 71

269:269

560:2x 2x 2x 2x 5x 7

387:3x 3x 43

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

7x 7x 43 = 2107

Therefore, the value for common factors is 2107.

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 = 8721158034960/(1x2107)

LCM = 8721158034960/2107

LCM = 4139135280

Thus, we can understand that the LCM of 301,497,269,560,387 is 4139135280.

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

• LCM of 576, 720, 376, 355, 311
• LCM of 499, 579, 297, 656, 270
• LCM of 434, 465, 969, 609, 546
• LCM of 435, 196, 370, 919, 750
• LCM of 443, 280, 575, 472, 134

1. What is the LCM of 301, 497, 269, 560, 387?

Answer: LCM of 301, 497, 269, 560, 387 is 4139135280.

2. How to calculate the LCM of 301, 497, 269, 560, 387?

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 301, 497, 269, 560, 387.

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}.