Given numbers are 977,782,706,322

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

The LCM of 977,782,706,322 is 1887878594.

Find LCM of 977,782,706,322 with Prime Factorization

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

2 x 23 x 977 x 17 x 353 x 7 = 1887878594

Therefore, the lowest common multiple of 977,782,706,322 is 1887878594.

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.

977 x 782 x 706 x 322 = 173684830648

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.

977 : 1, 977

782 : 1, 2, 17, 23, 34, 46, 391, 782

706 : 1, 2, 353, 706

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,782,706,322, is 1.

Now, the common factors can be found like this.

977:977

782:2x 17x 23

706:2x 353

322:2x 7x 23

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 23 = 92

Therefore, the value for common factors is 92.

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 = 173684830648/(1x92)

LCM = 173684830648/92

LCM = 1887878594

Thus, we can understand that the LCM of 977,782,706,322 is 1887878594.

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

• LCM of 725, 525, 395, 156
• LCM of 314, 137, 890, 139
• LCM of 911, 558, 417, 125
• LCM of 618, 574, 608, 672
• LCM of 671, 654, 589, 942

1. What is the LCM of 977, 782, 706, 322?

Answer: LCM of 977, 782, 706, 322 is 1887878594.

2. How to calculate the LCM of 977, 782, 706, 322?

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 977, 782, 706, 322.

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}.