Given numbers are 907,486,148,212,704

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

The LCM of 907,486,148,212,704 is 304273278144.

Find LCM of 907,486,148,212,704 with Prime Factorization

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

2 x 2 x 907 x 243 x 37 x 53 x 176 = 304273278144

Therefore, the lowest common multiple of 907,486,148,212,704 is 304273278144.

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.

907 x 486 x 148 x 212 x 704 = 9736744900608

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.

907 : 1, 907

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

148 : 1, 2, 4, 37, 74, 148

212 : 1, 2, 4, 53, 106, 212

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,486,148,212,704, is 1.

Now, the common factors can be found like this.

907:907

486:2x 3x 3x 3x 3x 3

148:2x 2x 37

212:2x 2x 53

704:2x 2x 2x 2x 2x 2x 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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 9736744900608/(1x32)

LCM = 9736744900608/32

LCM = 304273278144

Thus, we can understand that the LCM of 907,486,148,212,704 is 304273278144.

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

• LCM of 613, 801, 320, 238, 690
• LCM of 257, 505, 183, 801, 449
• LCM of 337, 739, 668, 790, 438
• LCM of 259, 747, 709, 412, 929
• LCM of 965, 473, 776, 977, 186

1. What is the LCM of 907, 486, 148, 212, 704?

Answer: LCM of 907, 486, 148, 212, 704 is 304273278144.

2. How to calculate the LCM of 907, 486, 148, 212, 704?

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 907, 486, 148, 212, 704.

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}.