Given numbers are 726,734,748,816

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

The LCM of 726,734,748,816 is 36236112.

Find LCM of 726,734,748,816 with Prime Factorization

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

2 x 2 x 3 x 11 x 17 x 11 x 367 x 1 x 4 = 36236112

Therefore, the lowest common multiple of 726,734,748,816 is 36236112.

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.

726 x 734 x 748 x 816 = 325255341312

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.

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

734 : 1, 2, 367, 734

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,734,748,816, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

734:2x 367

748:2x 2x 11x 17

816:2x 2x 2x 2x 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 2x 2x 3x 11x 17 = 4488

Therefore, the value for common factors is 4488.

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 = 325255341312/(2x4488)

LCM = 325255341312/8976

LCM = 36236112

Thus, we can understand that the LCM of 726,734,748,816 is 36236112.

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

• LCM of 719, 680, 959, 574
• LCM of 719, 253, 292, 254
• LCM of 403, 891, 839, 600
• LCM of 373, 182, 130, 241
• LCM of 397, 254, 764, 254

1. What is the LCM of 726, 734, 748, 816?

Answer: LCM of 726, 734, 748, 816 is 36236112.

2. How to calculate the LCM of 726, 734, 748, 816?

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 726, 734, 748, 816.

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}.