Given numbers are 924,165,847,138,434

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

The LCM of 924,165,847,138,434 is 36234660.

Find LCM of 924,165,847,138,434 with Prime Factorization

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

2 x 3 x 7 x 11 x 2 x 5 x 11 x 23 x 31 = 36234660

Therefore, the lowest common multiple of 924,165,847,138,434 is 36234660.

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.

924 x 165 x 847 x 138 x 434 = 7734070769040

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

165 : 1, 3, 5, 11, 15, 33, 55, 165

847 : 1, 7, 11, 77, 121, 847

138 : 1, 2, 3, 6, 23, 46, 69, 138

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,165,847,138,434, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

165:3x 5x 11

847:7x 11x 11

138:2x 3x 23

434:2x 7x 31

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 3x 3x 7x 7x 11x 11 = 213444

Therefore, the value for common factors is 213444.

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 = 7734070769040/(1x213444)

LCM = 7734070769040/213444

LCM = 36234660

Thus, we can understand that the LCM of 924,165,847,138,434 is 36234660.

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

• LCM of 753, 391, 592, 726, 510
• LCM of 237, 107, 704, 182, 912
• LCM of 159, 295, 218, 165, 345
• LCM of 204, 554, 169, 174, 804
• LCM of 340, 558, 895, 967, 101

1. What is the LCM of 924, 165, 847, 138, 434?

Answer: LCM of 924, 165, 847, 138, 434 is 36234660.

2. How to calculate the LCM of 924, 165, 847, 138, 434?

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 924, 165, 847, 138, 434.

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}.