Given numbers are 644,138,874

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

The LCM of 644,138,874 is 36708.

Find LCM of 644,138,874 with Prime Factorization

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

2 x 23 x 14 x 3 x 19 = 36708

Therefore, the lowest common multiple of 644,138,874 is 36708.

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.

644 x 138 x 874 = 77674128

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

46 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,138,874, is 46.

Now, the common factors can be found like this.

644:2x 2x 7x 23

138:2x 3x 23

874:2x 19x 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 23 = 46

Therefore, the value for common factors is 46.

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 = 77674128/(46x46)

LCM = 77674128/2116

LCM = 36708

Thus, we can understand that the LCM of 644,138,874 is 36708.

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

• LCM of 307, 213, 776
• LCM of 726, 869, 870
• LCM of 998, 180, 961
• LCM of 471, 273, 871
• LCM of 200, 110, 757

1. What is the LCM of 644, 138, 874?

Answer: LCM of 644, 138, 874 is 36708.

2. How to calculate the LCM of 644, 138, 874?

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 644, 138, 874.

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}.