Given numbers are 489,748,299,299

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

The LCM of 489,748,299,299 is 109365828.

Find LCM of 489,748,299,299 with Prime Factorization

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

13 x 23 x 489 x 748 x 1 x 1 = 109365828

Therefore, the lowest common multiple of 489,748,299,299 is 109365828.

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.

489 x 748 x 299 x 299 = 32700382572

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.

489 : 1, 3, 163, 489

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

299 : 1, 13, 23, 299

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,748,299,299, is 1.

Now, the common factors can be found like this.

489:3x 163

748:2x 2x 11x 17

299:13x 23

299:13x 23

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

13x 23 = 299

Therefore, the value for common factors is 299.

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 = 32700382572/(1x299)

LCM = 32700382572/299

LCM = 109365828

Thus, we can understand that the LCM of 489,748,299,299 is 109365828.

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

• LCM of 935, 255, 652, 535
• LCM of 623, 880, 333, 978
• LCM of 125, 280, 922, 577
• LCM of 230, 568, 501, 650
• LCM of 267, 211, 203, 193

1. What is the LCM of 489, 748, 299, 299?

Answer: LCM of 489, 748, 299, 299 is 109365828.

2. How to calculate the LCM of 489, 748, 299, 299?

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 489, 748, 299, 299.

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}.