Given numbers are 429,297,817,409

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

The LCM of 429,297,817,409 is 1290164733.

Find LCM of 429,297,817,409 with Prime Factorization

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

3 x 11 x 13 x 9 x 817 x 409 = 1290164733

Therefore, the lowest common multiple of 429,297,817,409 is 1290164733.

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.

429 x 297 x 817 x 409 = 42575436189

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

297 : 1, 3, 9, 11, 27, 33, 99, 297

817 : 1, 19, 43, 817

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,297,817,409, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

297:3x 3x 3x 11

817:19x 43

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.

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 42575436189/(1x33)

LCM = 42575436189/33

LCM = 1290164733

Thus, we can understand that the LCM of 429,297,817,409 is 1290164733.

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

• LCM of 681, 177, 719, 172
• LCM of 679, 898, 286, 184
• LCM of 617, 385, 672, 883
• LCM of 398, 697, 666, 754
• LCM of 791, 333, 852, 784

1. What is the LCM of 429, 297, 817, 409?

Answer: LCM of 429, 297, 817, 409 is 1290164733.

2. How to calculate the LCM of 429, 297, 817, 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 429, 297, 817, 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}.