Given numbers are 461,626,520,115,828

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

The LCM of 461,626,520,115,828 is 15531698520.

Find LCM of 461,626,520,115,828 with Prime Factorization

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

2 x 2 x 5 x 23 x 461 x 313 x 26 x 1 x 9 = 15531698520

Therefore, the lowest common multiple of 461,626,520,115,828 is 15531698520.

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.

461 x 626 x 520 x 115 x 828 = 14289162638400

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.

461 : 1, 461

626 : 1, 2, 313, 626

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

115 : 1, 5, 23, 115

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,626,520,115,828, is 1.

Now, the common factors can be found like this.

461:461

626:2x 313

520:2x 2x 2x 5x 13

115:5x 23

828:2x 2x 3x 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 2x 2x 5x 23 = 920

Therefore, the value for common factors is 920.

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 = 14289162638400/(1x920)

LCM = 14289162638400/920

LCM = 15531698520

Thus, we can understand that the LCM of 461,626,520,115,828 is 15531698520.

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

• LCM of 938, 987, 923, 724, 781
• LCM of 162, 548, 500, 870, 274
• LCM of 146, 952, 927, 129, 830
• LCM of 739, 399, 172, 508, 783
• LCM of 989, 604, 755, 224, 594

1. What is the LCM of 461, 626, 520, 115, 828?

Answer: LCM of 461, 626, 520, 115, 828 is 15531698520.

2. How to calculate the LCM of 461, 626, 520, 115, 828?

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 461, 626, 520, 115, 828.

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}.