Given numbers are 425,138,812,576,326

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

The LCM of 425,138,812,576,326 is 186304305600.

Find LCM of 425,138,812,576,326 with Prime Factorization

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

2 x 2 x 3 x 425 x 23 x 203 x 48 x 163 = 186304305600

Therefore, the lowest common multiple of 425,138,812,576,326 is 186304305600.

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.

425 x 138 x 812 x 576 x 326 = 8942606668800

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.

425 : 1, 5, 17, 25, 85, 425

138 : 1, 2, 3, 6, 23, 46, 69, 138

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,138,812,576,326, is 1.

Now, the common factors can be found like this.

425:5x 5x 17

138:2x 3x 23

812:2x 2x 7x 29

576:2x 2x 2x 2x 2x 2x 3x 3

326:2x 163

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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 8942606668800/(1x48)

LCM = 8942606668800/48

LCM = 186304305600

Thus, we can understand that the LCM of 425,138,812,576,326 is 186304305600.

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

• LCM of 812, 800, 602, 211, 520
• LCM of 939, 925, 424, 726, 936
• LCM of 612, 619, 692, 795, 912
• LCM of 947, 673, 942, 192, 336
• LCM of 625, 410, 499, 970, 388

1. What is the LCM of 425, 138, 812, 576, 326?

Answer: LCM of 425, 138, 812, 576, 326 is 186304305600.

2. How to calculate the LCM of 425, 138, 812, 576, 326?

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 425, 138, 812, 576, 326.

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}.