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LCM of 306, 648, 561, 906

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


Find the LCM of 306, 648, 561, 906 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 306, 648, 561, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,648,561,906

Given numbers are 306,648,561,906

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

The LCM of 306,648,561,906 is 18297576.

Find LCM of 306,648,561,906 with Prime Factorization


2 306, 648, 561, 906
3 153, 324, 561, 453
3 51, 108, 187, 151
17 17, 36, 187, 151
1, 36, 11, 151

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

2 x 3 x 3 x 17 x 1 x 36 x 11 x 151 = 18297576

Therefore, the lowest common multiple of 306,648,561,906 is 18297576.

LCM Formula to Find Lowest Common Multiple of 306,648,561,906

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.

306 x 648 x 561 x 906 = 100783048608

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

561 : 1, 3, 11, 17, 33, 51, 187, 561

906 : 1, 2, 3, 6, 151, 302, 453, 906

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,648,561,906, is 3.

Now, the common factors can be found like this.

306:2x 3x 3x 17

648:2x 2x 2x 3x 3x 3x 3

561:3x 11x 17

906:2x 3x 151

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 3x 17 = 1836

Therefore, the value for common factors is 1836.

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 = 100783048608/(3x1836)

LCM = 100783048608/5508

LCM = 18297576

Thus, we can understand that the LCM of 306,648,561,906 is 18297576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 648, 561, 906

1. What is the LCM of 306, 648, 561, 906?

Answer: LCM of 306, 648, 561, 906 is 18297576.

2. How to calculate the LCM of 306, 648, 561, 906?

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 306, 648, 561, 906.

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}.