Given numbers are 401,969,543,509,828

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

The LCM of 401,969,543,509,828 is 9880378658676.

Find LCM of 401,969,543,509,828 with Prime Factorization

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

3 x 401 x 323 x 181 x 509 x 276 = 9880378658676

Therefore, the lowest common multiple of 401,969,543,509,828 is 9880378658676.

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.

401 x 969 x 543 x 509 x 828 = 88923407928084

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.

401 : 1, 401

969 : 1, 3, 17, 19, 51, 57, 323, 969

543 : 1, 3, 181, 543

509 : 1, 509

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 401,969,543,509,828, is 1.

Now, the common factors can be found like this.

401:401

969:3x 17x 19

543:3x 181

509:509

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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 88923407928084/(1x9)

LCM = 88923407928084/9

LCM = 9880378658676

Thus, we can understand that the LCM of 401,969,543,509,828 is 9880378658676.

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

• LCM of 830, 847, 119, 917, 144
• LCM of 714, 840, 149, 469, 934
• LCM of 532, 847, 604, 560, 943
• LCM of 491, 517, 667, 270, 472
• LCM of 838, 851, 351, 311, 123

1. What is the LCM of 401, 969, 543, 509, 828?

Answer: LCM of 401, 969, 543, 509, 828 is 9880378658676.

2. How to calculate the LCM of 401, 969, 543, 509, 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 401, 969, 543, 509, 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}.