Given numbers are 574,235,720,437,428

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

The LCM of 574,235,720,437,428 is 454127148720.

Find LCM of 574,235,720,437,428 with Prime Factorization

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

2 x 2 x 5 x 287 x 47 x 36 x 437 x 107 = 454127148720

Therefore, the lowest common multiple of 574,235,720,437,428 is 454127148720.

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.

574 x 235 x 720 x 437 x 428 = 18165085948800

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

235 : 1, 5, 47, 235

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

437 : 1, 19, 23, 437

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,235,720,437,428, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

235:5x 47

720:2x 2x 2x 2x 3x 3x 5

437:19x 23

428:2x 2x 107

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 5 = 40

Therefore, the value for common factors is 40.

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 = 18165085948800/(1x40)

LCM = 18165085948800/40

LCM = 454127148720

Thus, we can understand that the LCM of 574,235,720,437,428 is 454127148720.

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

• LCM of 457, 643, 843, 701, 645
• LCM of 596, 550, 379, 466, 460
• LCM of 253, 824, 981, 770, 320
• LCM of 815, 312, 711, 468, 130
• LCM of 939, 527, 267, 930, 606

1. What is the LCM of 574, 235, 720, 437, 428?

Answer: LCM of 574, 235, 720, 437, 428 is 454127148720.

2. How to calculate the LCM of 574, 235, 720, 437, 428?

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 574, 235, 720, 437, 428.

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}.