Given numbers are 238,369,411,792,639

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

The LCM of 238,369,411,792,639 is 37586762136.

Find LCM of 238,369,411,792,639 with Prime Factorization

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

2 x 3 x 3 x 119 x 41 x 137 x 44 x 71 = 37586762136

Therefore, the lowest common multiple of 238,369,411,792,639 is 37586762136.

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.

238 x 369 x 411 x 792 x 639 = 18267166398096

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

369 : 1, 3, 9, 41, 123, 369

411 : 1, 3, 137, 411

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,369,411,792,639, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

369:3x 3x 41

411:3x 137

792:2x 2x 2x 3x 3x 11

639:3x 3x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 3 = 486

Therefore, the value for common factors is 486.

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 = 18267166398096/(1x486)

LCM = 18267166398096/486

LCM = 37586762136

Thus, we can understand that the LCM of 238,369,411,792,639 is 37586762136.

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

• LCM of 191, 562, 581, 365, 870
• LCM of 856, 823, 962, 724, 547
• LCM of 700, 182, 200, 982, 190
• LCM of 748, 712, 625, 679, 793
• LCM of 833, 625, 761, 491, 899

1. What is the LCM of 238, 369, 411, 792, 639?

Answer: LCM of 238, 369, 411, 792, 639 is 37586762136.

2. How to calculate the LCM of 238, 369, 411, 792, 639?

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 238, 369, 411, 792, 639.

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}.