Given numbers are 645,149,107,823,172

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

The LCM of 645,149,107,823,172 is 33852409620.

Find LCM of 645,149,107,823,172 with Prime Factorization

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

43 x 15 x 149 x 107 x 823 x 4 = 33852409620

Therefore, the lowest common multiple of 645,149,107,823,172 is 33852409620.

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.

645 x 149 x 107 x 823 x 172 = 1455653613660

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

149 : 1, 149

107 : 1, 107

823 : 1, 823

172 : 1, 2, 4, 43, 86, 172

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,149,107,823,172, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

149:149

107:107

823:823

172:2x 2x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

43 = 43

Therefore, the value for common factors is 43.

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 = 1455653613660/(1x43)

LCM = 1455653613660/43

LCM = 33852409620

Thus, we can understand that the LCM of 645,149,107,823,172 is 33852409620.

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

• LCM of 977, 847, 903, 649, 153
• LCM of 790, 903, 318, 550, 342
• LCM of 751, 617, 411, 939, 610
• LCM of 602, 908, 533, 563, 175
• LCM of 524, 434, 314, 463, 345

1. What is the LCM of 645, 149, 107, 823, 172?

Answer: LCM of 645, 149, 107, 823, 172 is 33852409620.

2. How to calculate the LCM of 645, 149, 107, 823, 172?

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 645, 149, 107, 823, 172.

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}.