Given numbers are 135,904,876,708,731

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

The LCM of 135,904,876,708,731 is 384232810680.

Find LCM of 135,904,876,708,731 with Prime Factorization

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

2 x 2 x 3 x 45 x 226 x 73 x 59 x 731 = 384232810680

Therefore, the lowest common multiple of 135,904,876,708,731 is 384232810680.

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.

135 x 904 x 876 x 708 x 731 = 55329524737920

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

904 : 1, 2, 4, 8, 113, 226, 452, 904

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,904,876,708,731, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

904:2x 2x 2x 113

876:2x 2x 3x 73

708:2x 2x 3x 59

731:17x 43

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 55329524737920/(1x144)

LCM = 55329524737920/144

LCM = 384232810680

Thus, we can understand that the LCM of 135,904,876,708,731 is 384232810680.

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

• LCM of 897, 513, 627, 162, 798
• LCM of 214, 109, 339, 622, 940
• LCM of 688, 892, 658, 332, 783
• LCM of 958, 850, 453, 919, 909
• LCM of 200, 889, 854, 367, 358

1. What is the LCM of 135, 904, 876, 708, 731?

Answer: LCM of 135, 904, 876, 708, 731 is 384232810680.

2. How to calculate the LCM of 135, 904, 876, 708, 731?

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 135, 904, 876, 708, 731.

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}.