Given numbers are 504,409,818,510,921

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

The LCM of 504,409,818,510,921 is 5379118920.

Find LCM of 504,409,818,510,921 with Prime Factorization

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

2 x 3 x 409 x 84 x 1 x 1 x 85 x 307 = 5379118920

Therefore, the lowest common multiple of 504,409,818,510,921 is 5379118920.

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.

504 x 409 x 818 x 510 x 921 = 79202146978080

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

409 : 1, 409

818 : 1, 2, 409, 818

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,409,818,510,921, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

409:409

818:2x 409

510:2x 3x 5x 17

921:3x 307

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 3x 3x 409 = 14724

Therefore, the value for common factors is 14724.

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 = 79202146978080/(1x14724)

LCM = 79202146978080/14724

LCM = 5379118920

Thus, we can understand that the LCM of 504,409,818,510,921 is 5379118920.

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

• LCM of 994, 888, 947, 153, 934
• LCM of 206, 485, 348, 915, 337
• LCM of 411, 467, 529, 450, 785
• LCM of 453, 300, 454, 804, 911
• LCM of 558, 371, 607, 515, 222

1. What is the LCM of 504, 409, 818, 510, 921?

Answer: LCM of 504, 409, 818, 510, 921 is 5379118920.

2. How to calculate the LCM of 504, 409, 818, 510, 921?

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 504, 409, 818, 510, 921.

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}.