Given numbers are 787,166,540,714,678

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

The LCM of 787,166,540,714,678 is 474320602980.

Find LCM of 787,166,540,714,678 with Prime Factorization

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

2 x 3 x 787 x 83 x 90 x 119 x 113 = 474320602980

Therefore, the lowest common multiple of 787,166,540,714,678 is 474320602980.

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.

787 x 166 x 540 x 714 x 678 = 34151083414560

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.

787 : 1, 787

166 : 1, 2, 83, 166

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 787,166,540,714,678, is 1.

Now, the common factors can be found like this.

787:787

166:2x 83

540:2x 2x 3x 3x 3x 5

714:2x 3x 7x 17

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 34151083414560/(1x72)

LCM = 34151083414560/72

LCM = 474320602980

Thus, we can understand that the LCM of 787,166,540,714,678 is 474320602980.

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

• LCM of 552, 625, 409, 262, 285
• LCM of 476, 344, 227, 760, 164
• LCM of 622, 812, 691, 917, 122
• LCM of 582, 463, 782, 280, 297
• LCM of 627, 440, 161, 972, 528

1. What is the LCM of 787, 166, 540, 714, 678?

Answer: LCM of 787, 166, 540, 714, 678 is 474320602980.

2. How to calculate the LCM of 787, 166, 540, 714, 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 787, 166, 540, 714, 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}.