Given numbers are 749,198,428,487

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

The LCM of 749,198,428,487 is 144446148.

Find LCM of 749,198,428,487 with Prime Factorization

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

2 x 107 x 7 x 99 x 2 x 487 = 144446148

Therefore, the lowest common multiple of 749,198,428,487 is 144446148.

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.

749 x 198 x 428 x 487 = 30911475672

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.

749 : 1, 7, 107, 749

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,198,428,487, is 1.

Now, the common factors can be found like this.

749:7x 107

198:2x 3x 3x 11

428:2x 2x 107

487:487

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 30911475672/(1x214)

LCM = 30911475672/214

LCM = 144446148

Thus, we can understand that the LCM of 749,198,428,487 is 144446148.

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

• LCM of 609, 194, 472, 991
• LCM of 419, 119, 805, 775
• LCM of 140, 733, 747, 870
• LCM of 293, 240, 938, 929
• LCM of 963, 204, 828, 437

1. What is the LCM of 749, 198, 428, 487?

Answer: LCM of 749, 198, 428, 487 is 144446148.

2. How to calculate the LCM of 749, 198, 428, 487?

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 749, 198, 428, 487.

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}.