Given numbers are 977,103,312,340

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

The LCM of 977,103,312,340 is 2668734120.

Find LCM of 977,103,312,340 with Prime Factorization

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

2 x 2 x 977 x 103 x 78 x 85 = 2668734120

Therefore, the lowest common multiple of 977,103,312,340 is 2668734120.

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 103 x 312 x 340 = 10674936480

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

103 : 1, 103

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,103,312,340, is 1.

Now, the common factors can be found like this.

977:977

103:103

312:2x 2x 2x 3x 13

340:2x 2x 5x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 10674936480/(1x4)

LCM = 10674936480/4

LCM = 2668734120

Thus, we can understand that the LCM of 977,103,312,340 is 2668734120.

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

• LCM of 821, 651, 483, 864
• LCM of 661, 366, 152, 933
• LCM of 278, 277, 229, 301
• LCM of 530, 101, 213, 690
• LCM of 590, 395, 550, 915

1. What is the LCM of 977, 103, 312, 340?

Answer: LCM of 977, 103, 312, 340 is 2668734120.

2. How to calculate the LCM of 977, 103, 312, 340?

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, 103, 312, 340.

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}.