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LCM of 954, 189, 105, 326

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


Find the LCM of 954, 189, 105, 326 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 954, 189, 105, 326. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 954,189,105,326

Given numbers are 954,189,105,326

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

The LCM of 954,189,105,326 is 16327710.

Find LCM of 954,189,105,326 with Prime Factorization


2 954, 189, 105, 326
3 477, 189, 105, 163
3 159, 63, 35, 163
7 53, 21, 35, 163
53, 3, 5, 163

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

2 x 3 x 3 x 7 x 53 x 3 x 5 x 163 = 16327710

Therefore, the lowest common multiple of 954,189,105,326 is 16327710.

LCM Formula to Find Lowest Common Multiple of 954,189,105,326

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.

954 x 189 x 105 x 326 = 6171874380

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.

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

189 : 1, 3, 7, 9, 21, 27, 63, 189

105 : 1, 3, 5, 7, 15, 21, 35, 105

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,189,105,326, is 1.

Now, the common factors can be found like this.

954:2x 3x 3x 53

189:3x 3x 3x 7

105:3x 5x 7

326:2x 163

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 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 6171874380/(1x378)

LCM = 6171874380/378

LCM = 16327710

Thus, we can understand that the LCM of 954,189,105,326 is 16327710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 954, 189, 105, 326

1. What is the LCM of 954, 189, 105, 326?

Answer: LCM of 954, 189, 105, 326 is 16327710.

2. How to calculate the LCM of 954, 189, 105, 326?

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 954, 189, 105, 326.

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}.