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LCM of 154, 154, 308, 727

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


Find the LCM of 154, 154, 308, 727 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 154, 154, 308, 727. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 154,154,308,727

Given numbers are 154,154,308,727

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

The LCM of 154,154,308,727 is 223916.

Find LCM of 154,154,308,727 with Prime Factorization


2 154, 154, 308, 727
7 77, 77, 154, 727
11 11, 11, 22, 727
1, 1, 2, 727

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

2 x 7 x 11 x 1 x 1 x 2 x 727 = 223916

Therefore, the lowest common multiple of 154,154,308,727 is 223916.

LCM Formula to Find Lowest Common Multiple of 154,154,308,727

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.

154 x 154 x 308 x 727 = 5310391856

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

154 : 1, 2, 7, 11, 14, 22, 77, 154

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

727 : 1, 727

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,154,308,727, is 1.

Now, the common factors can be found like this.

154:2x 7x 11

154:2x 7x 11

308:2x 2x 7x 11

727:727

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 7x 7x 11x 11 = 23716

Therefore, the value for common factors is 23716.

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 = 5310391856/(1x23716)

LCM = 5310391856/23716

LCM = 223916

Thus, we can understand that the LCM of 154,154,308,727 is 223916.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 154, 154, 308, 727

1. What is the LCM of 154, 154, 308, 727?

Answer: LCM of 154, 154, 308, 727 is 223916.

2. How to calculate the LCM of 154, 154, 308, 727?

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 154, 154, 308, 727.

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}.