Given numbers are 340,458,976,720

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

The LCM of 340,458,976,720 is 170980560.

Find LCM of 340,458,976,720 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 17 x 229 x 61 x 9 = 170980560

Therefore, the lowest common multiple of 340,458,976,720 is 170980560.

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.

340 x 458 x 976 x 720 = 109427558400

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.

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

458 : 1, 2, 229, 458

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,458,976,720, is 2.

Now, the common factors can be found like this.

340:2x 2x 5x 17

458:2x 229

976:2x 2x 2x 2x 61

720:2x 2x 2x 2x 3x 3x 5

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 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 109427558400/(2x320)

LCM = 109427558400/640

LCM = 170980560

Thus, we can understand that the LCM of 340,458,976,720 is 170980560.

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

• LCM of 647, 873, 936, 947
• LCM of 501, 626, 820, 126
• LCM of 758, 191, 517, 961
• LCM of 532, 705, 321, 484
• LCM of 520, 515, 852, 288

1. What is the LCM of 340, 458, 976, 720?

Answer: LCM of 340, 458, 976, 720 is 170980560.

2. How to calculate the LCM of 340, 458, 976, 720?

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 340, 458, 976, 720.

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}.