Given numbers are 714,984,917,293,484

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

The LCM of 714,984,917,293,484 is 543833987928.

Find LCM of 714,984,917,293,484 with Prime Factorization

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

2 x 2 x 3 x 7 x 17 x 82 x 131 x 293 x 121 = 543833987928

Therefore, the lowest common multiple of 714,984,917,293,484 is 543833987928.

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.

714 x 984 x 917 x 293 x 484 = 91364109971904

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.

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

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

917 : 1, 7, 131, 917

293 : 1, 293

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,984,917,293,484, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

984:2x 2x 2x 3x 41

917:7x 131

293:293

484:2x 2x 11x 11

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 7 = 168

Therefore, the value for common factors is 168.

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 = 91364109971904/(1x168)

LCM = 91364109971904/168

LCM = 543833987928

Thus, we can understand that the LCM of 714,984,917,293,484 is 543833987928.

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

• LCM of 739, 192, 169, 420, 649
• LCM of 265, 431, 618, 724, 865
• LCM of 723, 504, 473, 792, 768
• LCM of 877, 599, 187, 809, 660
• LCM of 645, 219, 450, 869, 164

1. What is the LCM of 714, 984, 917, 293, 484?

Answer: LCM of 714, 984, 917, 293, 484 is 543833987928.

2. How to calculate the LCM of 714, 984, 917, 293, 484?

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 714, 984, 917, 293, 484.

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}.