Given numbers are 242,528,380,428

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

The LCM of 242,528,380,428 is 59038320.

Find LCM of 242,528,380,428 with Prime Factorization

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

2 x 2 x 11 x 11 x 12 x 95 x 107 = 59038320

Therefore, the lowest common multiple of 242,528,380,428 is 59038320.

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 528 x 380 x 428 = 20781488640

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,528,380,428, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

528:2x 2x 2x 2x 3x 11

380:2x 2x 5x 19

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 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 20781488640/(2x176)

LCM = 20781488640/352

LCM = 59038320

Thus, we can understand that the LCM of 242,528,380,428 is 59038320.

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

• LCM of 456, 162, 359, 817
• LCM of 130, 600, 577, 634
• LCM of 376, 347, 976, 553
• LCM of 274, 813, 513, 276
• LCM of 974, 104, 891, 397

1. What is the LCM of 242, 528, 380, 428?

Answer: LCM of 242, 528, 380, 428 is 59038320.

2. How to calculate the LCM of 242, 528, 380, 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, 528, 380, 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}.