Given numbers are 242,931,842,840,409

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

The LCM of 242,931,842,840,409 is 2327671564680.

Find LCM of 242,931,842,840,409 with Prime Factorization

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

2 x 7 x 121 x 133 x 421 x 60 x 409 = 2327671564680

Therefore, the lowest common multiple of 242,931,842,840,409 is 2327671564680.

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 931 x 842 x 840 x 409 = 65174803811040

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

931 : 1, 7, 19, 49, 133, 931

842 : 1, 2, 421, 842

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,931,842,840,409, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

931:7x 7x 19

842:2x 421

840:2x 2x 2x 3x 5x 7

409:409

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 7 = 28

Therefore, the value for common factors is 28.

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 = 65174803811040/(1x28)

LCM = 65174803811040/28

LCM = 2327671564680

Thus, we can understand that the LCM of 242,931,842,840,409 is 2327671564680.

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

• LCM of 828, 323, 246, 517, 163
• LCM of 170, 106, 184, 971, 150
• LCM of 989, 511, 567, 940, 550
• LCM of 500, 347, 256, 217, 293
• LCM of 590, 148, 248, 643, 941

1. What is the LCM of 242, 931, 842, 840, 409?

Answer: LCM of 242, 931, 842, 840, 409 is 2327671564680.

2. How to calculate the LCM of 242, 931, 842, 840, 409?

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, 931, 842, 840, 409.

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}.