Given numbers are 461,386,578

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

The LCM of 461,386,578 is 51426394.

Find LCM of 461,386,578 with Prime Factorization

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

2 x 461 x 193 x 289 = 51426394

Therefore, the lowest common multiple of 461,386,578 is 51426394.

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.

461 x 386 x 578 = 102852788

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.

461 : 1, 461

386 : 1, 2, 193, 386

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,386,578, is 1.

Now, the common factors can be found like this.

461:461

386:2x 193

578:2x 17x 17

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 = 102852788/(1x2)

LCM = 102852788/2

LCM = 51426394

Thus, we can understand that the LCM of 461,386,578 is 51426394.

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

• LCM of 290, 960, 471
• LCM of 547, 425, 960
• LCM of 751, 383, 591
• LCM of 836, 329, 710
• LCM of 494, 244, 139

1. What is the LCM of 461, 386, 578?

Answer: LCM of 461, 386, 578 is 51426394.

2. How to calculate the LCM of 461, 386, 578?

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 461, 386, 578.

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}.