Given numbers are 828,168,690,127,440

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

The LCM of 828,168,690,127,440 is 80970120.

Find LCM of 828,168,690,127,440 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 3 x 7 x 1 x 127 x 11 = 80970120

Therefore, the lowest common multiple of 828,168,690,127,440 is 80970120.

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.

828 x 168 x 690 x 127 x 440 = 5363460748800

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.

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

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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

127 : 1, 127

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,168,690,127,440, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

168:2x 2x 2x 3x 7

690:2x 3x 5x 23

127:127

440:2x 2x 2x 5x 11

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 2x 2x 2x 3x 3x 5x 23 = 66240

Therefore, the value for common factors is 66240.

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 = 5363460748800/(1x66240)

LCM = 5363460748800/66240

LCM = 80970120

Thus, we can understand that the LCM of 828,168,690,127,440 is 80970120.

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

• LCM of 187, 479, 846, 872, 261
• LCM of 492, 147, 909, 198, 366
• LCM of 899, 665, 271, 789, 803
• LCM of 333, 703, 295, 631, 171
• LCM of 950, 975, 926, 211, 665

1. What is the LCM of 828, 168, 690, 127, 440?

Answer: LCM of 828, 168, 690, 127, 440 is 80970120.

2. How to calculate the LCM of 828, 168, 690, 127, 440?

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 828, 168, 690, 127, 440.

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}.