Given numbers are 810,357,916,690

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

The LCM of 810,357,916,690 is 1015372260.

Find LCM of 810,357,916,690 with Prime Factorization

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

2 x 3 x 5 x 27 x 119 x 458 x 23 = 1015372260

Therefore, the lowest common multiple of 810,357,916,690 is 1015372260.

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.

810 x 357 x 916 x 690 = 182767006800

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

357 : 1, 3, 7, 17, 21, 51, 119, 357

916 : 1, 2, 4, 229, 458, 916

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,357,916,690, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

357:3x 7x 17

916:2x 2x 229

690:2x 3x 5x 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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 182767006800/(1x180)

LCM = 182767006800/180

LCM = 1015372260

Thus, we can understand that the LCM of 810,357,916,690 is 1015372260.

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

• LCM of 686, 413, 127, 789
• LCM of 700, 255, 249, 284
• LCM of 666, 831, 292, 783
• LCM of 278, 971, 245, 917
• LCM of 350, 361, 942, 110

1. What is the LCM of 810, 357, 916, 690?

Answer: LCM of 810, 357, 916, 690 is 1015372260.

2. How to calculate the LCM of 810, 357, 916, 690?

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 810, 357, 916, 690.

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}.