Given numbers are 726,128,886,767,138

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

The LCM of 726,128,886,767,138 is 363114440832.

Find LCM of 726,128,886,767,138 with Prime Factorization

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

2 x 3 x 121 x 64 x 443 x 767 x 23 = 363114440832

Therefore, the lowest common multiple of 726,128,886,767,138 is 363114440832.

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 128 x 886 x 767 x 138 = 8714746579968

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

886 : 1, 2, 443, 886

767 : 1, 13, 59, 767

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,128,886,767,138, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

128:2x 2x 2x 2x 2x 2x 2

886:2x 443

767:13x 59

138:2x 3x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 8714746579968/(1x24)

LCM = 8714746579968/24

LCM = 363114440832

Thus, we can understand that the LCM of 726,128,886,767,138 is 363114440832.

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

• LCM of 256, 669, 769, 900, 319
• LCM of 415, 711, 443, 134, 194
• LCM of 214, 801, 271, 652, 946
• LCM of 111, 223, 107, 583, 759
• LCM of 211, 501, 672, 273, 191

1. What is the LCM of 726, 128, 886, 767, 138?

Answer: LCM of 726, 128, 886, 767, 138 is 363114440832.

2. How to calculate the LCM of 726, 128, 886, 767, 138?

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, 128, 886, 767, 138.

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}.