Given numbers are 492,249,726,398

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

The LCM of 492,249,726,398 is 983290044.

Find LCM of 492,249,726,398 with Prime Factorization

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

2 x 3 x 82 x 83 x 121 x 199 = 983290044

Therefore, the lowest common multiple of 492,249,726,398 is 983290044.

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.

492 x 249 x 726 x 398 = 35398441584

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

249 : 1, 3, 83, 249

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,249,726,398, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

249:3x 83

726:2x 3x 11x 11

398:2x 199

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 3 = 36

Therefore, the value for common factors is 36.

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 = 35398441584/(1x36)

LCM = 35398441584/36

LCM = 983290044

Thus, we can understand that the LCM of 492,249,726,398 is 983290044.

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

• LCM of 143, 273, 971, 328
• LCM of 618, 652, 847, 472
• LCM of 802, 572, 989, 856
• LCM of 100, 527, 640, 739
• LCM of 765, 136, 505, 467

1. What is the LCM of 492, 249, 726, 398?

Answer: LCM of 492, 249, 726, 398 is 983290044.

2. How to calculate the LCM of 492, 249, 726, 398?

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 492, 249, 726, 398.

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}.