Given numbers are 816,678,918,531

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

The LCM of 816,678,918,531 is 48962448.

Find LCM of 816,678,918,531 with Prime Factorization

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

2 x 3 x 3 x 17 x 8 x 113 x 3 x 59 = 48962448

Therefore, the lowest common multiple of 816,678,918,531 is 48962448.

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.

816 x 678 x 918 x 531 = 269685163584

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

678 : 1, 2, 3, 6, 113, 226, 339, 678

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

531 : 1, 3, 9, 59, 177, 531

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,678,918,531, is 3.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

678:2x 3x 113

918:2x 3x 3x 3x 17

531:3x 3x 59

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 3x 3x 3x 17 = 1836

Therefore, the value for common factors is 1836.

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 = 269685163584/(3x1836)

LCM = 269685163584/5508

LCM = 48962448

Thus, we can understand that the LCM of 816,678,918,531 is 48962448.

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

• LCM of 444, 791, 522, 421
• LCM of 546, 200, 183, 795
• LCM of 451, 671, 814, 462
• LCM of 684, 220, 322, 969
• LCM of 597, 319, 622, 757

1. What is the LCM of 816, 678, 918, 531?

Answer: LCM of 816, 678, 918, 531 is 48962448.

2. How to calculate the LCM of 816, 678, 918, 531?

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 816, 678, 918, 531.

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}.