Given numbers are 720,817,676,120

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

The LCM of 720,817,676,120 is 99412560.

Find LCM of 720,817,676,120 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 6 x 817 x 169 x 1 = 99412560

Therefore, the lowest common multiple of 720,817,676,120 is 99412560.

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.

720 x 817 x 676 x 120 = 47718028800

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

817 : 1, 19, 43, 817

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,817,676,120, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

817:19x 43

676:2x 2x 13x 13

120:2x 2x 2x 3x 5

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 2x 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 47718028800/(1x480)

LCM = 47718028800/480

LCM = 99412560

Thus, we can understand that the LCM of 720,817,676,120 is 99412560.

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

• LCM of 627, 285, 440, 454
• LCM of 969, 542, 513, 840
• LCM of 786, 678, 786, 284
• LCM of 836, 987, 438, 172
• LCM of 130, 139, 848, 363

1. What is the LCM of 720, 817, 676, 120?

Answer: LCM of 720, 817, 676, 120 is 99412560.

2. How to calculate the LCM of 720, 817, 676, 120?

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 720, 817, 676, 120.

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}.