Given numbers are 242,692,320,614

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

The LCM of 242,692,320,614 is 2056457920.

Find LCM of 242,692,320,614 with Prime Factorization

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

2 x 2 x 121 x 173 x 80 x 307 = 2056457920

Therefore, the lowest common multiple of 242,692,320,614 is 2056457920.

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.

242 x 692 x 320 x 614 = 32903326720

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.

242 : 1, 2, 11, 22, 121, 242

692 : 1, 2, 4, 173, 346, 692

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,692,320,614, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

692:2x 2x 173

320:2x 2x 2x 2x 2x 2x 5

614:2x 307

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 2 = 8

Therefore, the value for common factors is 8.

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 = 32903326720/(2x8)

LCM = 32903326720/16

LCM = 2056457920

Thus, we can understand that the LCM of 242,692,320,614 is 2056457920.

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

• LCM of 525, 812, 568, 900
• LCM of 551, 744, 475, 505
• LCM of 391, 629, 705, 603
• LCM of 533, 919, 198, 483
• LCM of 492, 144, 804, 540

1. What is the LCM of 242, 692, 320, 614?

Answer: LCM of 242, 692, 320, 614 is 2056457920.

2. How to calculate the LCM of 242, 692, 320, 614?

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 242, 692, 320, 614.

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}.