Given numbers are 877,822,429,660,678

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

The LCM of 877,822,429,660,678 is 116489261460.

Find LCM of 877,822,429,660,678 with Prime Factorization

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

2 x 3 x 11 x 877 x 137 x 13 x 10 x 113 = 116489261460

Therefore, the lowest common multiple of 877,822,429,660,678 is 116489261460.

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.

877 x 822 x 429 x 660 x 678 = 138389242614480

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.

877 : 1, 877

822 : 1, 2, 3, 6, 137, 274, 411, 822

429 : 1, 3, 11, 13, 33, 39, 143, 429

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,822,429,660,678, is 1.

Now, the common factors can be found like this.

877:877

822:2x 3x 137

429:3x 11x 13

660:2x 2x 3x 5x 11

678:2x 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 3x 3x 3x 11 = 1188

Therefore, the value for common factors is 1188.

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 = 138389242614480/(1x1188)

LCM = 138389242614480/1188

LCM = 116489261460

Thus, we can understand that the LCM of 877,822,429,660,678 is 116489261460.

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

• LCM of 190, 118, 888, 845, 855
• LCM of 931, 160, 516, 295, 909
• LCM of 800, 233, 575, 592, 431
• LCM of 862, 949, 729, 360, 694
• LCM of 667, 973, 908, 979, 630

1. What is the LCM of 877, 822, 429, 660, 678?

Answer: LCM of 877, 822, 429, 660, 678 is 116489261460.

2. How to calculate the LCM of 877, 822, 429, 660, 678?

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 877, 822, 429, 660, 678.

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}.