Given numbers are 409,117,467,52

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

The LCM of 409,117,467,52 is 89389404.

Find LCM of 409,117,467,52 with Prime Factorization

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

13 x 409 x 9 x 467 x 4 = 89389404

Therefore, the lowest common multiple of 409,117,467,52 is 89389404.

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.

409 x 117 x 467 x 52 = 1162062252

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.

409 : 1, 409

117 : 1, 3, 9, 13, 39, 117

467 : 1, 467

52 : 1, 2, 4, 13, 26, 52

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,117,467,52, is 1.

Now, the common factors can be found like this.

409:409

117:3x 3x 13

467:467

52:2x 2x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 1162062252/(1x13)

LCM = 1162062252/13

LCM = 89389404

Thus, we can understand that the LCM of 409,117,467,52 is 89389404.

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

• LCM of 379, 537, 281, 56
• LCM of 638, 560, 512, 65
• LCM of 556, 639, 229, 68
• LCM of 839, 689, 971, 50
• LCM of 551, 587, 644, 19

1. What is the LCM of 409, 117, 467, 52?

Answer: LCM of 409, 117, 467, 52 is 89389404.

2. How to calculate the LCM of 409, 117, 467, 52?

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 409, 117, 467, 52.

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}.