Given numbers are 368,678,616,770

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

The LCM of 368,678,616,770 is 48029520.

Find LCM of 368,678,616,770 with Prime Factorization

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

2 x 2 x 2 x 7 x 11 x 46 x 339 x 1 x 5 = 48029520

Therefore, the lowest common multiple of 368,678,616,770 is 48029520.

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.

368 x 678 x 616 x 770 = 118344737280

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,678,616,770, is 2.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

678:2x 3x 113

616:2x 2x 2x 7x 11

770:2x 5x 7x 11

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 11 = 1232

Therefore, the value for common factors is 1232.

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 = 118344737280/(2x1232)

LCM = 118344737280/2464

LCM = 48029520

Thus, we can understand that the LCM of 368,678,616,770 is 48029520.

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

• LCM of 507, 348, 710, 610
• LCM of 674, 323, 177, 227
• LCM of 632, 743, 229, 441
• LCM of 531, 665, 296, 409
• LCM of 646, 762, 812, 726

1. What is the LCM of 368, 678, 616, 770?

Answer: LCM of 368, 678, 616, 770 is 48029520.

2. How to calculate the LCM of 368, 678, 616, 770?

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 368, 678, 616, 770.

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}.