Given numbers are 677,918,321,840

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

The LCM of 677,918,321,840 is 9309860280.

Find LCM of 677,918,321,840 with Prime Factorization

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

2 x 3 x 677 x 153 x 107 x 140 = 9309860280

Therefore, the lowest common multiple of 677,918,321,840 is 9309860280.

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.

677 x 918 x 321 x 840 = 167577485040

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.

677 : 1, 677

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

321 : 1, 3, 107, 321

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,918,321,840, is 1.

Now, the common factors can be found like this.

677:677

918:2x 3x 3x 3x 17

321:3x 107

840:2x 2x 2x 3x 5x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 167577485040/(1x18)

LCM = 167577485040/18

LCM = 9309860280

Thus, we can understand that the LCM of 677,918,321,840 is 9309860280.

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

• LCM of 720, 968, 858, 340
• LCM of 776, 806, 400, 704
• LCM of 286, 892, 717, 740
• LCM of 984, 555, 960, 120
• LCM of 415, 454, 245, 331

1. What is the LCM of 677, 918, 321, 840?

Answer: LCM of 677, 918, 321, 840 is 9309860280.

2. How to calculate the LCM of 677, 918, 321, 840?

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 677, 918, 321, 840.

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}.