Given numbers are 936,924,838,136,182

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

The LCM of 936,924,838,136,182 is 513368856.

Find LCM of 936,924,838,136,182 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 3 x 11 x 419 x 17 x 1 = 513368856

Therefore, the lowest common multiple of 936,924,838,136,182 is 513368856.

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.

936 x 924 x 838 x 136 x 182 = 17939161304064

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

838 : 1, 2, 419, 838

136 : 1, 2, 4, 8, 17, 34, 68, 136

182 : 1, 2, 7, 13, 14, 26, 91, 182

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,924,838,136,182, is 2.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

924:2x 2x 3x 7x 11

838:2x 419

136:2x 2x 2x 17

182:2x 7x 13

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 2x 3x 7x 13 = 17472

Therefore, the value for common factors is 17472.

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 = 17939161304064/(2x17472)

LCM = 17939161304064/34944

LCM = 513368856

Thus, we can understand that the LCM of 936,924,838,136,182 is 513368856.

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

• LCM of 342, 411, 275, 741, 554
• LCM of 386, 464, 367, 338, 406
• LCM of 914, 795, 644, 464, 966
• LCM of 970, 128, 736, 705, 529
• LCM of 758, 508, 588, 986, 301

1. What is the LCM of 936, 924, 838, 136, 182?

Answer: LCM of 936, 924, 838, 136, 182 is 513368856.

2. How to calculate the LCM of 936, 924, 838, 136, 182?

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 936, 924, 838, 136, 182.

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}.