Given numbers are 117,324,680,948,790

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

The LCM of 117,324,680,948,790 is 56567160.

Find LCM of 117,324,680,948,790 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 79 x 13 x 9 x 34 x 1 x 1 = 56567160

Therefore, the lowest common multiple of 117,324,680,948,790 is 56567160.

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.

117 x 324 x 680 x 948 x 790 = 19305240364800

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.

117 : 1, 3, 9, 13, 39, 117

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,324,680,948,790, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

324:2x 2x 3x 3x 3x 3

680:2x 2x 2x 5x 17

948:2x 2x 3x 79

790:2x 5x 79

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 2x 2x 2x 3x 3x 3x 5x 79 = 341280

Therefore, the value for common factors is 341280.

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 = 19305240364800/(1x341280)

LCM = 19305240364800/341280

LCM = 56567160

Thus, we can understand that the LCM of 117,324,680,948,790 is 56567160.

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

• LCM of 551, 871, 681, 804, 200
• LCM of 705, 802, 564, 588, 647
• LCM of 158, 884, 303, 747, 591
• LCM of 293, 700, 117, 713, 438
• LCM of 997, 131, 156, 848, 546

1. What is the LCM of 117, 324, 680, 948, 790?

Answer: LCM of 117, 324, 680, 948, 790 is 56567160.

2. How to calculate the LCM of 117, 324, 680, 948, 790?

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 117, 324, 680, 948, 790.

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}.