Given numbers are 275,352,723,241

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

The LCM of 275,352,723,241 is 6362400.

Find LCM of 275,352,723,241 with Prime Factorization

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

11 x 241 x 25 x 32 x 3 x 1 = 6362400

Therefore, the lowest common multiple of 275,352,723,241 is 6362400.

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.

275 x 352 x 723 x 241 = 16866722400

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.

275 : 1, 5, 11, 25, 55, 275

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

723 : 1, 3, 241, 723

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,352,723,241, is 1.

Now, the common factors can be found like this.

275:5x 5x 11

352:2x 2x 2x 2x 2x 11

723:3x 241

241:241

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

11x 241 = 2651

Therefore, the value for common factors is 2651.

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 = 16866722400/(1x2651)

LCM = 16866722400/2651

LCM = 6362400

Thus, we can understand that the LCM of 275,352,723,241 is 6362400.

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

• LCM of 293, 100, 793, 298
• LCM of 792, 487, 906, 855
• LCM of 412, 453, 797, 718
• LCM of 590, 315, 892, 964
• LCM of 321, 420, 765, 907

1. What is the LCM of 275, 352, 723, 241?

Answer: LCM of 275, 352, 723, 241 is 6362400.

2. How to calculate the LCM of 275, 352, 723, 241?

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 275, 352, 723, 241.

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}.