Given numbers are 924,756,529,228,838

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

The LCM of 924,756,529,228,838 is 35021744604.

Find LCM of 924,756,529,228,838 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 9 x 529 x 19 x 419 = 35021744604

Therefore, the lowest common multiple of 924,756,529,228,838 is 35021744604.

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 756 x 529 x 228 x 838 = 70603837121664

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

529 : 1, 23, 529

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,756,529,228,838, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

756:2x 2x 3x 3x 3x 7

529:23x 23

228:2x 2x 3x 19

838:2x 419

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 7 = 2016

Therefore, the value for common factors is 2016.

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 = 70603837121664/(1x2016)

LCM = 70603837121664/2016

LCM = 35021744604

Thus, we can understand that the LCM of 924,756,529,228,838 is 35021744604.

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

• LCM of 168, 137, 814, 561, 934
• LCM of 626, 338, 202, 606, 209
• LCM of 329, 250, 741, 903, 145
• LCM of 681, 277, 985, 714, 600
• LCM of 327, 116, 404, 311, 119

1. What is the LCM of 924, 756, 529, 228, 838?

Answer: LCM of 924, 756, 529, 228, 838 is 35021744604.

2. How to calculate the LCM of 924, 756, 529, 228, 838?

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, 756, 529, 228, 838.

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}.