Given numbers are 239,192,838,812,938

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

The LCM of 239,192,838,812,938 is 261507406272.

Find LCM of 239,192,838,812,938 with Prime Factorization

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

2 x 2 x 7 x 239 x 48 x 419 x 29 x 67 = 261507406272

Therefore, the lowest common multiple of 239,192,838,812,938 is 261507406272.

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.

239 x 192 x 838 x 812 x 938 = 29288829502464

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.

239 : 1, 239

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

838 : 1, 2, 419, 838

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,192,838,812,938, is 1.

Now, the common factors can be found like this.

239:239

192:2x 2x 2x 2x 2x 2x 3

838:2x 419

812:2x 2x 7x 29

938:2x 7x 67

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 7 = 112

Therefore, the value for common factors is 112.

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 = 29288829502464/(1x112)

LCM = 29288829502464/112

LCM = 261507406272

Thus, we can understand that the LCM of 239,192,838,812,938 is 261507406272.

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

• LCM of 370, 579, 285, 717, 334
• LCM of 166, 170, 713, 670, 181
• LCM of 486, 565, 525, 397, 968
• LCM of 834, 917, 134, 918, 133
• LCM of 184, 513, 371, 394, 558

1. What is the LCM of 239, 192, 838, 812, 938?

Answer: LCM of 239, 192, 838, 812, 938 is 261507406272.

2. How to calculate the LCM of 239, 192, 838, 812, 938?

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 239, 192, 838, 812, 938.

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}.