Given numbers are 238,630,318,642,339

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

The LCM of 238,630,318,642,339 is 6863214330.

Find LCM of 238,630,318,642,339 with Prime Factorization

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

2 x 3 x 7 x 17 x 15 x 53 x 107 x 113 = 6863214330

Therefore, the lowest common multiple of 238,630,318,642,339 is 6863214330.

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 630 x 318 x 642 x 339 = 10377180066960

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

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

318 : 1, 2, 3, 6, 53, 106, 159, 318

642 : 1, 2, 3, 6, 107, 214, 321, 642

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,630,318,642,339, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

630:2x 3x 3x 5x 7

318:2x 3x 53

642:2x 3x 107

339:3x 113

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 10377180066960/(1x1512)

LCM = 10377180066960/1512

LCM = 6863214330

Thus, we can understand that the LCM of 238,630,318,642,339 is 6863214330.

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

• LCM of 446, 660, 774, 408, 527
• LCM of 552, 962, 510, 887, 854
• LCM of 426, 400, 172, 328, 457
• LCM of 724, 326, 674, 644, 879
• LCM of 610, 439, 196, 568, 100

1. What is the LCM of 238, 630, 318, 642, 339?

Answer: LCM of 238, 630, 318, 642, 339 is 6863214330.

2. How to calculate the LCM of 238, 630, 318, 642, 339?

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, 630, 318, 642, 339.

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}.