Given numbers are 273,415,580,975,980

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

The LCM of 273,415,580,975,980 is 459977700.

Find LCM of 273,415,580,975,980 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 13 x 1 x 83 x 29 x 5 x 7 = 459977700

Therefore, the lowest common multiple of 273,415,580,975,980 is 459977700.

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.

273 x 415 x 580 x 975 x 980 = 62786956050000

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

415 : 1, 5, 83, 415

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,415,580,975,980, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

415:5x 83

580:2x 2x 5x 29

975:3x 5x 5x 13

980:2x 2x 5x 7x 7

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 3x 5x 5x 5x 7x 13 = 136500

Therefore, the value for common factors is 136500.

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 = 62786956050000/(1x136500)

LCM = 62786956050000/136500

LCM = 459977700

Thus, we can understand that the LCM of 273,415,580,975,980 is 459977700.

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

• LCM of 585, 442, 901, 946, 649
• LCM of 951, 601, 816, 365, 372
• LCM of 825, 418, 899, 420, 556
• LCM of 605, 755, 864, 715, 109
• LCM of 896, 257, 439, 388, 329

1. What is the LCM of 273, 415, 580, 975, 980?

Answer: LCM of 273, 415, 580, 975, 980 is 459977700.

2. How to calculate the LCM of 273, 415, 580, 975, 980?

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 273, 415, 580, 975, 980.

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}.