Given numbers are 490,586,538,428

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

The LCM of 490,586,538,428 is 8264750620.

Find LCM of 490,586,538,428 with Prime Factorization

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

2 x 245 x 293 x 269 x 214 = 8264750620

Therefore, the lowest common multiple of 490,586,538,428 is 8264750620.

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.

490 x 586 x 538 x 428 = 66118004960

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

586 : 1, 2, 293, 586

538 : 1, 2, 269, 538

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 490,586,538,428, is 2.

Now, the common factors can be found like this.

490:2x 5x 7x 7

586:2x 293

538:2x 269

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 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 = 66118004960/(2x4)

LCM = 66118004960/8

LCM = 8264750620

Thus, we can understand that the LCM of 490,586,538,428 is 8264750620.

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

• LCM of 373, 275, 505, 914
• LCM of 238, 904, 327, 372
• LCM of 888, 398, 278, 133
• LCM of 952, 116, 268, 379
• LCM of 381, 907, 476, 338

1. What is the LCM of 490, 586, 538, 428?

Answer: LCM of 490, 586, 538, 428 is 8264750620.

2. How to calculate the LCM of 490, 586, 538, 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 490, 586, 538, 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}.