Given numbers are 136,748,375,221,646

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

The LCM of 136,748,375,221,646 is 138567000.

Find LCM of 136,748,375,221,646 with Prime Factorization

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

2 x 2 x 17 x 2 x 11 x 375 x 13 x 19 = 138567000

Therefore, the lowest common multiple of 136,748,375,221,646 is 138567000.

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 748 x 375 x 221 x 646 = 5446237368000

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

375 : 1, 3, 5, 15, 25, 75, 125, 375

221 : 1, 13, 17, 221

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,748,375,221,646, is 1.

Now, the common factors can be found like this.

136:2x 2x 2x 17

748:2x 2x 11x 17

375:3x 5x 5x 5

221:13x 17

646:2x 17x 19

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 17x 17x 17 = 39304

Therefore, the value for common factors is 39304.

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 = 5446237368000/(1x39304)

LCM = 5446237368000/39304

LCM = 138567000

Thus, we can understand that the LCM of 136,748,375,221,646 is 138567000.

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

• LCM of 532, 795, 413, 587, 144
• LCM of 866, 281, 219, 271, 451
• LCM of 452, 548, 220, 506, 375
• LCM of 261, 996, 223, 556, 465
• LCM of 404, 432, 809, 990, 111

1. What is the LCM of 136, 748, 375, 221, 646?

Answer: LCM of 136, 748, 375, 221, 646 is 138567000.

2. How to calculate the LCM of 136, 748, 375, 221, 646?

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, 748, 375, 221, 646.

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}.