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LCM of 221, 573, 694, 229, 136

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


Find the LCM of 221, 573, 694, 229, 136 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 221, 573, 694, 229, 136. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,573,694,229,136

Given numbers are 221,573,694,229,136

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

The LCM of 221,573,694,229,136 is 80501104632.

Find LCM of 221,573,694,229,136 with Prime Factorization


2 221, 573, 694, 229, 136
17 221, 573, 347, 229, 68
13, 573, 347, 229, 4

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

2 x 17 x 13 x 573 x 347 x 229 x 4 = 80501104632

Therefore, the lowest common multiple of 221,573,694,229,136 is 80501104632.

LCM Formula to Find Lowest Common Multiple of 221,573,694,229,136

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.

221 x 573 x 694 x 229 x 136 = 2737037557488

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.

221 : 1, 13, 17, 221

573 : 1, 3, 191, 573

694 : 1, 2, 347, 694

229 : 1, 229

136 : 1, 2, 4, 8, 17, 34, 68, 136

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,573,694,229,136, is 1.

Now, the common factors can be found like this.

221:13x 17

573:3x 191

694:2x 347

229:229

136:2x 2x 2x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 2737037557488/(1x34)

LCM = 2737037557488/34

LCM = 80501104632

Thus, we can understand that the LCM of 221,573,694,229,136 is 80501104632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 573, 694, 229, 136

1. What is the LCM of 221, 573, 694, 229, 136?

Answer: LCM of 221, 573, 694, 229, 136 is 80501104632.

2. How to calculate the LCM of 221, 573, 694, 229, 136?

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 221, 573, 694, 229, 136.

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}.