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LCM of 286, 156, 123, 609

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


Find the LCM of 286, 156, 123, 609 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 286, 156, 123, 609. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 286,156,123,609

Given numbers are 286,156,123,609

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

The LCM of 286,156,123,609 is 14282268.

Find LCM of 286,156,123,609 with Prime Factorization


2 286, 156, 123, 609
3 143, 78, 123, 609
13 143, 26, 41, 203
11, 2, 41, 203

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

2 x 3 x 13 x 11 x 2 x 41 x 203 = 14282268

Therefore, the lowest common multiple of 286,156,123,609 is 14282268.

LCM Formula to Find Lowest Common Multiple of 286,156,123,609

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.

286 x 156 x 123 x 609 = 3342050712

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

123 : 1, 3, 41, 123

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,156,123,609, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

156:2x 2x 3x 13

123:3x 41

609:3x 7x 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 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 3342050712/(1x234)

LCM = 3342050712/234

LCM = 14282268

Thus, we can understand that the LCM of 286,156,123,609 is 14282268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 286, 156, 123, 609

1. What is the LCM of 286, 156, 123, 609?

Answer: LCM of 286, 156, 123, 609 is 14282268.

2. How to calculate the LCM of 286, 156, 123, 609?

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 286, 156, 123, 609.

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}.