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LCM of 183, 30, 354, 826

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


Find the LCM of 183, 30, 354, 826 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 183, 30, 354, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 183,30,354,826

Given numbers are 183,30,354,826

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

The LCM of 183,30,354,826 is 755790.

Find LCM of 183,30,354,826 with Prime Factorization


2 183, 30, 354, 826
3 183, 15, 177, 413
59 61, 5, 59, 413
61, 5, 1, 7

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

2 x 3 x 59 x 61 x 5 x 1 x 7 = 755790

Therefore, the lowest common multiple of 183,30,354,826 is 755790.

LCM Formula to Find Lowest Common Multiple of 183,30,354,826

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.

183 x 30 x 354 x 826 = 1605297960

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.

183 : 1, 3, 61, 183

30 : 1, 2, 3, 5, 6, 10, 15, 30

354 : 1, 2, 3, 6, 59, 118, 177, 354

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 183,30,354,826, is 1.

Now, the common factors can be found like this.

183:3x 61

30:2x 3x 5

354:2x 3x 59

826:2x 7x 59

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 3x 3x 59 = 2124

Therefore, the value for common factors is 2124.

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 = 1605297960/(1x2124)

LCM = 1605297960/2124

LCM = 755790

Thus, we can understand that the LCM of 183,30,354,826 is 755790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 183, 30, 354, 826

1. What is the LCM of 183, 30, 354, 826?

Answer: LCM of 183, 30, 354, 826 is 755790.

2. How to calculate the LCM of 183, 30, 354, 826?

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 183, 30, 354, 826.

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}.