Given numbers are 829,713,644,138

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

The LCM of 829,713,644,138 is 49650468.

Find LCM of 829,713,644,138 with Prime Factorization

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

2 x 23 x 829 x 31 x 14 x 3 = 49650468

Therefore, the lowest common multiple of 829,713,644,138 is 49650468.

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.

829 x 713 x 644 x 138 = 52530195144

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.

829 : 1, 829

713 : 1, 23, 31, 713

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,713,644,138, is 1.

Now, the common factors can be found like this.

829:829

713:23x 31

644:2x 2x 7x 23

138:2x 3x 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 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 52530195144/(1x1058)

LCM = 52530195144/1058

LCM = 49650468

Thus, we can understand that the LCM of 829,713,644,138 is 49650468.

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

• LCM of 607, 769, 713, 760
• LCM of 365, 359, 215, 909
• LCM of 375, 256, 173, 101
• LCM of 400, 789, 829, 718
• LCM of 865, 685, 428, 709

1. What is the LCM of 829, 713, 644, 138?

Answer: LCM of 829, 713, 644, 138 is 49650468.

2. How to calculate the LCM of 829, 713, 644, 138?

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 829, 713, 644, 138.

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}.