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LCM of 540, 556, 986, 262, 232

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 540, 556, 986, 262, 232 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 540, 556, 986, 262, 232. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 540,556,986,262,232

Given numbers are 540,556,986,262,232

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

The LCM of 540,556,986,262,232 is 9695199960.

Find LCM of 540,556,986,262,232 with Prime Factorization


2 540, 556, 986, 262, 232
2 270, 278, 493, 131, 116
29 135, 139, 493, 131, 58
135, 139, 17, 131, 2

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

2 x 2 x 29 x 135 x 139 x 17 x 131 x 2 = 9695199960

Therefore, the lowest common multiple of 540,556,986,262,232 is 9695199960.

LCM Formula to Find Lowest Common Multiple of 540,556,986,262,232

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.

540 x 556 x 986 x 262 x 232 = 17994291125760

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

556 : 1, 2, 4, 139, 278, 556

986 : 1, 2, 17, 29, 34, 58, 493, 986

262 : 1, 2, 131, 262

232 : 1, 2, 4, 8, 29, 58, 116, 232

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,556,986,262,232, is 2.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

556:2x 2x 139

986:2x 17x 29

262:2x 131

232:2x 2x 2x 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 2x 2x 2x 29 = 928

Therefore, the value for common factors is 928.

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 = 17994291125760/(2x928)

LCM = 17994291125760/1856

LCM = 9695199960

Thus, we can understand that the LCM of 540,556,986,262,232 is 9695199960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 540, 556, 986, 262, 232

1. What is the LCM of 540, 556, 986, 262, 232?

Answer: LCM of 540, 556, 986, 262, 232 is 9695199960.

2. How to calculate the LCM of 540, 556, 986, 262, 232?

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 540, 556, 986, 262, 232.

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}.