Given numbers are 240,226,657,714,726

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

The LCM of 240,226,657,714,726 is 85519692720.

Find LCM of 240,226,657,714,726 with Prime Factorization

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

2 x 3 x 40 x 113 x 219 x 119 x 121 = 85519692720

Therefore, the lowest common multiple of 240,226,657,714,726 is 85519692720.

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.

240 x 226 x 657 x 714 x 726 = 18472253627520

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

226 : 1, 2, 113, 226

657 : 1, 3, 9, 73, 219, 657

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,226,657,714,726, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

226:2x 113

657:3x 3x 73

714:2x 3x 7x 17

726:2x 3x 11x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 18472253627520/(1x216)

LCM = 18472253627520/216

LCM = 85519692720

Thus, we can understand that the LCM of 240,226,657,714,726 is 85519692720.

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

• LCM of 547, 810, 309, 705, 567
• LCM of 839, 577, 412, 503, 146
• LCM of 336, 583, 173, 230, 225
• LCM of 590, 880, 807, 438, 640
• LCM of 218, 801, 995, 323, 711

1. What is the LCM of 240, 226, 657, 714, 726?

Answer: LCM of 240, 226, 657, 714, 726 is 85519692720.

2. How to calculate the LCM of 240, 226, 657, 714, 726?

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 240, 226, 657, 714, 726.

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}.