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LCM of 869, 412, 221, 316

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


Find the LCM of 869, 412, 221, 316 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 869, 412, 221, 316. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 869,412,221,316

Given numbers are 869,412,221,316

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

The LCM of 869,412,221,316 is 79124188.

Find LCM of 869,412,221,316 with Prime Factorization


2 869, 412, 221, 316
2 869, 206, 221, 158
79 869, 103, 221, 79
11, 103, 221, 1

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

2 x 2 x 79 x 11 x 103 x 221 x 1 = 79124188

Therefore, the lowest common multiple of 869,412,221,316 is 79124188.

LCM Formula to Find Lowest Common Multiple of 869,412,221,316

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.

869 x 412 x 221 x 316 = 25003243408

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.

869 : 1, 11, 79, 869

412 : 1, 2, 4, 103, 206, 412

221 : 1, 13, 17, 221

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,412,221,316, is 1.

Now, the common factors can be found like this.

869:11x 79

412:2x 2x 103

221:13x 17

316:2x 2x 79

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 79 = 316

Therefore, the value for common factors is 316.

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 = 25003243408/(1x316)

LCM = 25003243408/316

LCM = 79124188

Thus, we can understand that the LCM of 869,412,221,316 is 79124188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 869, 412, 221, 316

1. What is the LCM of 869, 412, 221, 316?

Answer: LCM of 869, 412, 221, 316 is 79124188.

2. How to calculate the LCM of 869, 412, 221, 316?

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 869, 412, 221, 316.

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}.