Given numbers are 505,524,452,638

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

The LCM of 505,524,452,638 is 9538757140.

Find LCM of 505,524,452,638 with Prime Factorization

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

2 x 2 x 505 x 131 x 113 x 319 = 9538757140

Therefore, the lowest common multiple of 505,524,452,638 is 9538757140.

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.

505 x 524 x 452 x 638 = 76310057120

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.

505 : 1, 5, 101, 505

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

452 : 1, 2, 4, 113, 226, 452

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,524,452,638, is 1.

Now, the common factors can be found like this.

505:5x 101

524:2x 2x 131

452:2x 2x 113

638:2x 11x 29

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 2 = 8

Therefore, the value for common factors is 8.

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 = 76310057120/(1x8)

LCM = 76310057120/8

LCM = 9538757140

Thus, we can understand that the LCM of 505,524,452,638 is 9538757140.

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

• LCM of 658, 452, 934, 846
• LCM of 977, 864, 951, 338
• LCM of 797, 601, 499, 103
• LCM of 772, 480, 858, 582
• LCM of 881, 601, 470, 222

1. What is the LCM of 505, 524, 452, 638?

Answer: LCM of 505, 524, 452, 638 is 9538757140.

2. How to calculate the LCM of 505, 524, 452, 638?

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 505, 524, 452, 638.

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}.