Given numbers are 467,510,914

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

The LCM of 467,510,914 is 108843690.

Find LCM of 467,510,914 with Prime Factorization

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

2 x 467 x 255 x 457 = 108843690

Therefore, the lowest common multiple of 467,510,914 is 108843690.

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.

467 x 510 x 914 = 217687380

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.

467 : 1, 467

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

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,510,914, is 1.

Now, the common factors can be found like this.

467:467

510:2x 3x 5x 17

914:2x 457

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

2 = 2

Therefore, the value for common factors is 2.

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 = 217687380/(1x2)

LCM = 217687380/2

LCM = 108843690

Thus, we can understand that the LCM of 467,510,914 is 108843690.

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

• LCM of 432, 141, 161
• LCM of 955, 815, 373
• LCM of 402, 562, 975
• LCM of 793, 643, 594
• LCM of 419, 288, 926

1. What is the LCM of 467, 510, 914?

Answer: LCM of 467, 510, 914 is 108843690.

2. How to calculate the LCM of 467, 510, 914?

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 467, 510, 914.

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}.