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LCM of 229, 552, 345, 440, 986

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


Find the LCM of 229, 552, 345, 440, 986 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 229, 552, 345, 440, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,552,345,440,986

Given numbers are 229,552,345,440,986

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

The LCM of 229,552,345,440,986 is 3427552920.

Find LCM of 229,552,345,440,986 with Prime Factorization


2 229, 552, 345, 440, 986
2 229, 276, 345, 220, 493
2 229, 138, 345, 110, 493
3 229, 69, 345, 55, 493
5 229, 23, 115, 55, 493
23 229, 23, 23, 11, 493
229, 1, 1, 11, 493

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

2 x 2 x 2 x 3 x 5 x 23 x 229 x 1 x 1 x 11 x 493 = 3427552920

Therefore, the lowest common multiple of 229,552,345,440,986 is 3427552920.

LCM Formula to Find Lowest Common Multiple of 229,552,345,440,986

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.

229 x 552 x 345 x 440 x 986 = 18920092118400

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.

229 : 1, 229

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

345 : 1, 3, 5, 15, 23, 69, 115, 345

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,552,345,440,986, is 1.

Now, the common factors can be found like this.

229:229

552:2x 2x 2x 3x 23

345:3x 5x 23

440:2x 2x 2x 5x 11

986:2x 17x 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 3x 5x 23 = 5520

Therefore, the value for common factors is 5520.

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 = 18920092118400/(1x5520)

LCM = 18920092118400/5520

LCM = 3427552920

Thus, we can understand that the LCM of 229,552,345,440,986 is 3427552920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 552, 345, 440, 986

1. What is the LCM of 229, 552, 345, 440, 986?

Answer: LCM of 229, 552, 345, 440, 986 is 3427552920.

2. How to calculate the LCM of 229, 552, 345, 440, 986?

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 229, 552, 345, 440, 986.

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}.