Given numbers are 340,109,924,440

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

The LCM of 340,109,924,440 is 17121720.

Find LCM of 340,109,924,440 with Prime Factorization

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

2 x 2 x 5 x 11 x 17 x 109 x 21 x 2 = 17121720

Therefore, the lowest common multiple of 340,109,924,440 is 17121720.

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 109 x 924 x 440 = 15067113600

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

109 : 1, 109

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,109,924,440, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

109:109

924:2x 2x 3x 7x 11

440:2x 2x 2x 5x 11

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 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 15067113600/(1x880)

LCM = 15067113600/880

LCM = 17121720

Thus, we can understand that the LCM of 340,109,924,440 is 17121720.

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

• LCM of 480, 404, 743, 763
• LCM of 306, 739, 265, 976
• LCM of 690, 471, 460, 664
• LCM of 874, 503, 310, 843
• LCM of 255, 142, 391, 300

1. What is the LCM of 340, 109, 924, 440?

Answer: LCM of 340, 109, 924, 440 is 17121720.

2. How to calculate the LCM of 340, 109, 924, 440?

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, 109, 924, 440.

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}.