Given numbers are 136,121,715,293,306

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

The LCM of 136,121,715,293,306 is 2820640680.

Find LCM of 136,121,715,293,306 with Prime Factorization

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

2 x 11 x 17 x 4 x 11 x 65 x 293 x 9 = 2820640680

Therefore, the lowest common multiple of 136,121,715,293,306 is 2820640680.

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.

136 x 121 x 715 x 293 x 306 = 1054919614320

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.

136 : 1, 2, 4, 8, 17, 34, 68, 136

121 : 1, 11, 121

715 : 1, 5, 11, 13, 55, 65, 143, 715

293 : 1, 293

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,121,715,293,306, is 1.

Now, the common factors can be found like this.

136:2x 2x 2x 17

121:11x 11

715:5x 11x 13

293:293

306:2x 3x 3x 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 11x 17 = 374

Therefore, the value for common factors is 374.

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 = 1054919614320/(1x374)

LCM = 1054919614320/374

LCM = 2820640680

Thus, we can understand that the LCM of 136,121,715,293,306 is 2820640680.

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

• LCM of 887, 829, 879, 138, 158
• LCM of 995, 874, 867, 247, 564
• LCM of 427, 425, 181, 109, 364
• LCM of 965, 399, 550, 495, 506
• LCM of 669, 701, 160, 404, 540

1. What is the LCM of 136, 121, 715, 293, 306?

Answer: LCM of 136, 121, 715, 293, 306 is 2820640680.

2. How to calculate the LCM of 136, 121, 715, 293, 306?

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 136, 121, 715, 293, 306.

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}.