Given numbers are 524,514,610,427

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

The LCM of 524,514,610,427 is 287516180.

Find LCM of 524,514,610,427 with Prime Factorization

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

2 x 61 x 262 x 257 x 5 x 7 = 287516180

Therefore, the lowest common multiple of 524,514,610,427 is 287516180.

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.

524 x 514 x 610 x 427 = 70153947920

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.

524 : 1, 2, 4, 131, 262, 524

514 : 1, 2, 257, 514

610 : 1, 2, 5, 10, 61, 122, 305, 610

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,514,610,427, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

514:2x 257

610:2x 5x 61

427:7x 61

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 61 = 244

Therefore, the value for common factors is 244.

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 = 70153947920/(1x244)

LCM = 70153947920/244

LCM = 287516180

Thus, we can understand that the LCM of 524,514,610,427 is 287516180.

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

• LCM of 839, 348, 763, 654
• LCM of 746, 675, 173, 946
• LCM of 179, 845, 999, 394
• LCM of 107, 921, 330, 685
• LCM of 916, 916, 317, 384

1. What is the LCM of 524, 514, 610, 427?

Answer: LCM of 524, 514, 610, 427 is 287516180.

2. How to calculate the LCM of 524, 514, 610, 427?

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 524, 514, 610, 427.

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}.