Given numbers are 561,545,686,507,349

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

The LCM of 561,545,686,507,349 is 12370738049670.

Find LCM of 561,545,686,507,349 with Prime Factorization

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

3 x 187 x 545 x 686 x 169 x 349 = 12370738049670

Therefore, the lowest common multiple of 561,545,686,507,349 is 12370738049670.

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.

561 x 545 x 686 x 507 x 349 = 37112214149010

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

545 : 1, 5, 109, 545

686 : 1, 2, 7, 14, 49, 98, 343, 686

507 : 1, 3, 13, 39, 169, 507

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,545,686,507,349, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

545:5x 109

686:2x 7x 7x 7

507:3x 13x 13

349:349

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

3 = 3

Therefore, the value for common factors is 3.

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 = 37112214149010/(1x3)

LCM = 37112214149010/3

LCM = 12370738049670

Thus, we can understand that the LCM of 561,545,686,507,349 is 12370738049670.

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

• LCM of 251, 351, 156, 518, 470
• LCM of 290, 692, 253, 769, 356
• LCM of 771, 161, 406, 360, 453
• LCM of 791, 388, 773, 313, 333
• LCM of 357, 890, 930, 823, 494

1. What is the LCM of 561, 545, 686, 507, 349?

Answer: LCM of 561, 545, 686, 507, 349 is 12370738049670.

2. How to calculate the LCM of 561, 545, 686, 507, 349?

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 561, 545, 686, 507, 349.

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}.