Given numbers are 426,980,828,409

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

The LCM of 426,980,828,409 is 5890851540.

Find LCM of 426,980,828,409 with Prime Factorization

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

2 x 2 x 3 x 71 x 245 x 69 x 409 = 5890851540

Therefore, the lowest common multiple of 426,980,828,409 is 5890851540.

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.

426 x 980 x 828 x 409 = 141380436960

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

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

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,980,828,409, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

980:2x 2x 5x 7x 7

828:2x 2x 3x 3x 23

409:409

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 3 = 24

Therefore, the value for common factors is 24.

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 = 141380436960/(1x24)

LCM = 141380436960/24

LCM = 5890851540

Thus, we can understand that the LCM of 426,980,828,409 is 5890851540.

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

• LCM of 752, 294, 960, 132
• LCM of 627, 254, 848, 613
• LCM of 313, 495, 587, 335
• LCM of 334, 528, 241, 153
• LCM of 709, 438, 470, 849

1. What is the LCM of 426, 980, 828, 409?

Answer: LCM of 426, 980, 828, 409 is 5890851540.

2. How to calculate the LCM of 426, 980, 828, 409?

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 426, 980, 828, 409.

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}.