Given numbers are 107,137,722,428,972

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

The LCM of 107,137,722,428,972 is 5143725828.

Find LCM of 107,137,722,428,972 with Prime Factorization

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

2 x 2 x 107 x 1 x 137 x 361 x 1 x 243 = 5143725828

Therefore, the lowest common multiple of 107,137,722,428,972 is 5143725828.

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.

107 x 137 x 722 x 428 x 972 = 4403029308768

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.

107 : 1, 107

137 : 1, 137

722 : 1, 2, 19, 38, 361, 722

428 : 1, 2, 4, 107, 214, 428

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,137,722,428,972, is 1.

Now, the common factors can be found like this.

107:107

137:137

722:2x 19x 19

428:2x 2x 107

972:2x 2x 3x 3x 3x 3x 3

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 107 = 856

Therefore, the value for common factors is 856.

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 = 4403029308768/(1x856)

LCM = 4403029308768/856

LCM = 5143725828

Thus, we can understand that the LCM of 107,137,722,428,972 is 5143725828.

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

• LCM of 117, 874, 120, 252, 322
• LCM of 859, 900, 819, 619, 146
• LCM of 692, 550, 547, 404, 375
• LCM of 664, 775, 386, 322, 582
• LCM of 831, 432, 471, 986, 713

1. What is the LCM of 107, 137, 722, 428, 972?

Answer: LCM of 107, 137, 722, 428, 972 is 5143725828.

2. How to calculate the LCM of 107, 137, 722, 428, 972?

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 107, 137, 722, 428, 972.

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}.