Given numbers are 378,528,366,770

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

The LCM of 378,528,366,770 is 10145520.

Find LCM of 378,528,366,770 with Prime Factorization

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

2 x 3 x 7 x 11 x 9 x 8 x 61 x 5 = 10145520

Therefore, the lowest common multiple of 378,528,366,770 is 10145520.

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.

378 x 528 x 366 x 770 = 56246762880

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.

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

366 : 1, 2, 3, 6, 61, 122, 183, 366

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 378,528,366,770, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

528:2x 2x 2x 2x 3x 11

366:2x 3x 61

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 3x 3x 7x 11 = 2772

Therefore, the value for common factors is 2772.

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 = 56246762880/(2x2772)

LCM = 56246762880/5544

LCM = 10145520

Thus, we can understand that the LCM of 378,528,366,770 is 10145520.

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

• LCM of 492, 443, 752, 928
• LCM of 114, 653, 559, 798
• LCM of 648, 946, 850, 432
• LCM of 790, 887, 641, 646
• LCM of 758, 508, 336, 963

1. What is the LCM of 378, 528, 366, 770?

Answer: LCM of 378, 528, 366, 770 is 10145520.

2. How to calculate the LCM of 378, 528, 366, 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 378, 528, 366, 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}.