Given numbers are 748,723,437,349,241

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

The LCM of 748,723,437,349,241 is 82479640452.

Find LCM of 748,723,437,349,241 with Prime Factorization

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

241 x 748 x 3 x 437 x 349 x 1 = 82479640452

Therefore, the lowest common multiple of 748,723,437,349,241 is 82479640452.

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.

748 x 723 x 437 x 349 x 241 = 19877593348932

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

723 : 1, 3, 241, 723

437 : 1, 19, 23, 437

349 : 1, 349

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,723,437,349,241, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

723:3x 241

437:19x 23

349:349

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.

241 = 241

Therefore, the value for common factors is 241.

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 = 19877593348932/(1x241)

LCM = 19877593348932/241

LCM = 82479640452

Thus, we can understand that the LCM of 748,723,437,349,241 is 82479640452.

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

• LCM of 878, 664, 405, 345, 562
• LCM of 513, 333, 721, 597, 815
• LCM of 674, 400, 269, 880, 300
• LCM of 508, 750, 146, 376, 225
• LCM of 796, 556, 359, 903, 803

1. What is the LCM of 748, 723, 437, 349, 241?

Answer: LCM of 748, 723, 437, 349, 241 is 82479640452.

2. How to calculate the LCM of 748, 723, 437, 349, 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 748, 723, 437, 349, 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}.