Given numbers are 678,988,281,360

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

The LCM of 678,988,281,360 is 2823476760.

Find LCM of 678,988,281,360 with Prime Factorization

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

2 x 2 x 3 x 113 x 247 x 281 x 30 = 2823476760

Therefore, the lowest common multiple of 678,988,281,360 is 2823476760.

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.

678 x 988 x 281 x 360 = 67763442240

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.

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

281 : 1, 281

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,988,281,360, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

988:2x 2x 13x 19

281:281

360:2x 2x 2x 3x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 67763442240/(1x24)

LCM = 67763442240/24

LCM = 2823476760

Thus, we can understand that the LCM of 678,988,281,360 is 2823476760.

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

• LCM of 537, 789, 613, 198
• LCM of 658, 910, 490, 706
• LCM of 210, 570, 873, 607
• LCM of 443, 160, 419, 109
• LCM of 714, 585, 656, 390

1. What is the LCM of 678, 988, 281, 360?

Answer: LCM of 678, 988, 281, 360 is 2823476760.

2. How to calculate the LCM of 678, 988, 281, 360?

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 678, 988, 281, 360.

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}.