Given numbers are 242,909,420,428

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

The LCM of 242,909,420,428 is 1647635220.

Find LCM of 242,909,420,428 with Prime Factorization

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

2 x 2 x 3 x 121 x 303 x 35 x 107 = 1647635220

Therefore, the lowest common multiple of 242,909,420,428 is 1647635220.

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.

242 x 909 x 420 x 428 = 39543245280

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.

242 : 1, 2, 11, 22, 121, 242

909 : 1, 3, 9, 101, 303, 909

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 242,909,420,428, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

909:3x 3x 101

420:2x 2x 3x 5x 7

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 3 = 24

Therefore, the value for common factors is 24.

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 = 39543245280/(1x24)

LCM = 39543245280/24

LCM = 1647635220

Thus, we can understand that the LCM of 242,909,420,428 is 1647635220.

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

• LCM of 775, 781, 239, 209
• LCM of 809, 376, 936, 384
• LCM of 570, 866, 309, 251
• LCM of 443, 175, 187, 364
• LCM of 712, 503, 955, 457

1. What is the LCM of 242, 909, 420, 428?

Answer: LCM of 242, 909, 420, 428 is 1647635220.

2. How to calculate the LCM of 242, 909, 420, 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 242, 909, 420, 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}.