Given numbers are 273,461,814,407

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

The LCM of 273,461,814,407 is 102444342.

Find LCM of 273,461,814,407 with Prime Factorization

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

11 x 37 x 273 x 461 x 2 x 1 = 102444342

Therefore, the lowest common multiple of 273,461,814,407 is 102444342.

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.

273 x 461 x 814 x 407 = 41694847194

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

461 : 1, 461

814 : 1, 2, 11, 22, 37, 74, 407, 814

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,461,814,407, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

461:461

814:2x 11x 37

407:11x 37

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

11x 37 = 407

Therefore, the value for common factors is 407.

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 = 41694847194/(1x407)

LCM = 41694847194/407

LCM = 102444342

Thus, we can understand that the LCM of 273,461,814,407 is 102444342.

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

• LCM of 958, 613, 868, 184
• LCM of 613, 487, 484, 919
• LCM of 192, 958, 740, 835
• LCM of 778, 916, 567, 738
• LCM of 586, 918, 914, 987

1. What is the LCM of 273, 461, 814, 407?

Answer: LCM of 273, 461, 814, 407 is 102444342.

2. How to calculate the LCM of 273, 461, 814, 407?

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 273, 461, 814, 407.

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}.