Given numbers are 127,275,365,504,720

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

The LCM of 127,275,365,504,720 is 2569921200.

Find LCM of 127,275,365,504,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 127 x 55 x 73 x 7 x 2 = 2569921200

Therefore, the lowest common multiple of 127,275,365,504,720 is 2569921200.

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.

127 x 275 x 365 x 504 x 720 = 4625858160000

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.

127 : 1, 127

275 : 1, 5, 11, 25, 55, 275

365 : 1, 5, 73, 365

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,275,365,504,720, is 1.

Now, the common factors can be found like this.

127:127

275:5x 5x 11

365:5x 73

504:2x 2x 2x 3x 3x 7

720:2x 2x 2x 2x 3x 3x 5

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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 4625858160000/(1x1800)

LCM = 4625858160000/1800

LCM = 2569921200

Thus, we can understand that the LCM of 127,275,365,504,720 is 2569921200.

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

• LCM of 186, 921, 849, 928, 946
• LCM of 401, 318, 629, 131, 778
• LCM of 370, 952, 915, 420, 852
• LCM of 683, 777, 758, 473, 518
• LCM of 913, 808, 164, 319, 947

1. What is the LCM of 127, 275, 365, 504, 720?

Answer: LCM of 127, 275, 365, 504, 720 is 2569921200.

2. How to calculate the LCM of 127, 275, 365, 504, 720?

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 127, 275, 365, 504, 720.

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}.