Given numbers are 677,780,966,714

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

The LCM of 677,780,966,714 is 1445300220.

Find LCM of 677,780,966,714 with Prime Factorization

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

2 x 3 x 7 x 677 x 130 x 23 x 17 = 1445300220

Therefore, the lowest common multiple of 677,780,966,714 is 1445300220.

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 780 x 966 x 714 = 364215655440

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,780,966,714, is 1.

Now, the common factors can be found like this.

677:677

780:2x 2x 3x 5x 13

966:2x 3x 7x 23

714:2x 3x 7x 17

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 364215655440/(1x252)

LCM = 364215655440/252

LCM = 1445300220

Thus, we can understand that the LCM of 677,780,966,714 is 1445300220.

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

• LCM of 240, 190, 345, 232
• LCM of 840, 299, 628, 304
• LCM of 850, 659, 390, 792
• LCM of 358, 631, 940, 307
• LCM of 819, 710, 414, 553

1. What is the LCM of 677, 780, 966, 714?

Answer: LCM of 677, 780, 966, 714 is 1445300220.

2. How to calculate the LCM of 677, 780, 966, 714?

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, 780, 966, 714.

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}.