Given numbers are 314,121,646,340

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

The LCM of 314,121,646,340 is 122720620.

Find LCM of 314,121,646,340 with Prime Factorization

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

2 x 17 x 157 x 121 x 19 x 10 = 122720620

Therefore, the lowest common multiple of 314,121,646,340 is 122720620.

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.

314 x 121 x 646 x 340 = 8345002160

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.

314 : 1, 2, 157, 314

121 : 1, 11, 121

646 : 1, 2, 17, 19, 34, 38, 323, 646

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 314,121,646,340, is 1.

Now, the common factors can be found like this.

314:2x 157

121:11x 11

646:2x 17x 19

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 2x 17 = 68

Therefore, the value for common factors is 68.

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 = 8345002160/(1x68)

LCM = 8345002160/68

LCM = 122720620

Thus, we can understand that the LCM of 314,121,646,340 is 122720620.

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

• LCM of 597, 543, 834, 268
• LCM of 967, 997, 454, 858
• LCM of 746, 972, 255, 680
• LCM of 337, 662, 618, 476
• LCM of 694, 178, 186, 819

1. What is the LCM of 314, 121, 646, 340?

Answer: LCM of 314, 121, 646, 340 is 122720620.

2. How to calculate the LCM of 314, 121, 646, 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 314, 121, 646, 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}.