Given numbers are 241,419,428,440

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

The LCM of 241,419,428,440 is 4754091320.

Find LCM of 241,419,428,440 with Prime Factorization

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

2 x 2 x 241 x 419 x 107 x 110 = 4754091320

Therefore, the lowest common multiple of 241,419,428,440 is 4754091320.

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.

241 x 419 x 428 x 440 = 19016365280

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.

241 : 1, 241

419 : 1, 419

428 : 1, 2, 4, 107, 214, 428

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,419,428,440, is 1.

Now, the common factors can be found like this.

241:241

419:419

428:2x 2x 107

440:2x 2x 2x 5x 11

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 19016365280/(1x4)

LCM = 19016365280/4

LCM = 4754091320

Thus, we can understand that the LCM of 241,419,428,440 is 4754091320.

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

• LCM of 898, 606, 398, 951
• LCM of 383, 150, 599, 594
• LCM of 213, 146, 684, 842
• LCM of 696, 158, 560, 460
• LCM of 292, 300, 639, 156

1. What is the LCM of 241, 419, 428, 440?

Answer: LCM of 241, 419, 428, 440 is 4754091320.

2. How to calculate the LCM of 241, 419, 428, 440?

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 241, 419, 428, 440.

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}.