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LCM of 136, 289, 704

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


Find the LCM of 136, 289, 704 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 136, 289, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 136,289,704

Given numbers are 136,289,704

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

The LCM of 136,289,704 is 203456.

Find LCM of 136,289,704 with Prime Factorization


2 136, 289, 704
2 68, 289, 352
2 34, 289, 176
17 17, 289, 88
1, 17, 88

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

2 x 2 x 2 x 17 x 1 x 17 x 88 = 203456

Therefore, the lowest common multiple of 136,289,704 is 203456.

LCM Formula to Find Lowest Common Multiple of 136,289,704

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.

136 x 289 x 704 = 27670016

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.

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

289 : 1, 17, 289

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,289,704, is 1.

Now, the common factors can be found like this.

136:2x 2x 2x 17

289:17x 17

704:2x 2x 2x 2x 2x 2x 11

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 17 = 136

Therefore, the value for common factors is 136.

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 = 27670016/(1x136)

LCM = 27670016/136

LCM = 203456

Thus, we can understand that the LCM of 136,289,704 is 203456.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 136, 289, 704

1. What is the LCM of 136, 289, 704?

Answer: LCM of 136, 289, 704 is 203456.

2. How to calculate the LCM of 136, 289, 704?

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 136, 289, 704.

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}.