Given numbers are 616,311,378,709,448

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

The LCM of 616,311,378,709,448 is 29338714944.

Find LCM of 616,311,378,709,448 with Prime Factorization

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

2 x 2 x 2 x 7 x 11 x 311 x 27 x 709 x 8 = 29338714944

Therefore, the lowest common multiple of 616,311,378,709,448 is 29338714944.

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.

616 x 311 x 378 x 709 x 448 = 23001552516096

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

311 : 1, 311

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

709 : 1, 709

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,311,378,709,448, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

311:311

378:2x 3x 3x 3x 7

709:709

448:2x 2x 2x 2x 2x 2x 7

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 23001552516096/(1x784)

LCM = 23001552516096/784

LCM = 29338714944

Thus, we can understand that the LCM of 616,311,378,709,448 is 29338714944.

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

• LCM of 479, 897, 990, 779, 783
• LCM of 592, 443, 219, 209, 567
• LCM of 755, 917, 995, 766, 590
• LCM of 227, 386, 799, 906, 448
• LCM of 791, 726, 924, 205, 794

1. What is the LCM of 616, 311, 378, 709, 448?

Answer: LCM of 616, 311, 378, 709, 448 is 29338714944.

2. How to calculate the LCM of 616, 311, 378, 709, 448?

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 616, 311, 378, 709, 448.

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}.