Given numbers are 829,673,644,548,120

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

The LCM of 829,673,644,548,120 is 1476717032280.

Find LCM of 829,673,644,548,120 with Prime Factorization

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

2 x 2 x 829 x 673 x 161 x 137 x 30 = 1476717032280

Therefore, the lowest common multiple of 829,673,644,548,120 is 1476717032280.

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 673 x 644 x 548 x 120 = 23627472516480

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

673 : 1, 673

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

548 : 1, 2, 4, 137, 274, 548

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,673,644,548,120, is 1.

Now, the common factors can be found like this.

829:829

673:673

644:2x 2x 7x 23

548:2x 2x 137

120:2x 2x 2x 3x 5

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 2 = 16

Therefore, the value for common factors is 16.

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 = 23627472516480/(1x16)

LCM = 23627472516480/16

LCM = 1476717032280

Thus, we can understand that the LCM of 829,673,644,548,120 is 1476717032280.

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

• LCM of 673, 272, 118, 749, 546
• LCM of 334, 147, 288, 927, 337
• LCM of 762, 644, 854, 176, 181
• LCM of 869, 984, 278, 948, 560
• LCM of 324, 812, 208, 165, 364

1. What is the LCM of 829, 673, 644, 548, 120?

Answer: LCM of 829, 673, 644, 548, 120 is 1476717032280.

2. How to calculate the LCM of 829, 673, 644, 548, 120?

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, 673, 644, 548, 120.

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}.