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LCM of 236, 459, 556, 296

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


Find the LCM of 236, 459, 556, 296 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 236, 459, 556, 296. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 236,459,556,296

Given numbers are 236,459,556,296

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

The LCM of 236,459,556,296 is 1114220664.

Find LCM of 236,459,556,296 with Prime Factorization


2 236, 459, 556, 296
2 118, 459, 278, 148
59, 459, 139, 74

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

2 x 2 x 59 x 459 x 139 x 74 = 1114220664

Therefore, the lowest common multiple of 236,459,556,296 is 1114220664.

LCM Formula to Find Lowest Common Multiple of 236,459,556,296

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.

236 x 459 x 556 x 296 = 17827530624

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.

236 : 1, 2, 4, 59, 118, 236

459 : 1, 3, 9, 17, 27, 51, 153, 459

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,459,556,296, is 1.

Now, the common factors can be found like this.

236:2x 2x 59

459:3x 3x 3x 17

556:2x 2x 139

296:2x 2x 2x 37

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 2 = 16

Therefore, the value for common factors is 16.

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 = 17827530624/(1x16)

LCM = 17827530624/16

LCM = 1114220664

Thus, we can understand that the LCM of 236,459,556,296 is 1114220664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 236, 459, 556, 296

1. What is the LCM of 236, 459, 556, 296?

Answer: LCM of 236, 459, 556, 296 is 1114220664.

2. How to calculate the LCM of 236, 459, 556, 296?

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 236, 459, 556, 296.

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}.