Given numbers are 561,713,748,497

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

The LCM of 561,713,748,497 is 795186084.

Find LCM of 561,713,748,497 with Prime Factorization

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

11 x 17 x 3 x 713 x 4 x 497 = 795186084

Therefore, the lowest common multiple of 561,713,748,497 is 795186084.

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 713 x 748 x 497 = 148699797708

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

713 : 1, 23, 31, 713

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,713,748,497, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

713:23x 31

748:2x 2x 11x 17

497:7x 71

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 148699797708/(1x187)

LCM = 148699797708/187

LCM = 795186084

Thus, we can understand that the LCM of 561,713,748,497 is 795186084.

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

• LCM of 145, 682, 385, 845
• LCM of 653, 854, 244, 731
• LCM of 750, 588, 796, 972
• LCM of 860, 694, 371, 108
• LCM of 249, 173, 296, 536

1. What is the LCM of 561, 713, 748, 497?

Answer: LCM of 561, 713, 748, 497 is 795186084.

2. How to calculate the LCM of 561, 713, 748, 497?

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, 713, 748, 497.

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}.