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LCM of 327, 961, 882, 624

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


Find the LCM of 327, 961, 882, 624 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 327, 961, 882, 624. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,961,882,624

Given numbers are 327,961,882,624

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

The LCM of 327,961,882,624 is 9608416272.

Find LCM of 327,961,882,624 with Prime Factorization


2 327, 961, 882, 624
3 327, 961, 441, 312
109, 961, 147, 104

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

2 x 3 x 109 x 961 x 147 x 104 = 9608416272

Therefore, the lowest common multiple of 327,961,882,624 is 9608416272.

LCM Formula to Find Lowest Common Multiple of 327,961,882,624

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.

327 x 961 x 882 x 624 = 172951492896

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.

327 : 1, 3, 109, 327

961 : 1, 31, 961

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,961,882,624, is 1.

Now, the common factors can be found like this.

327:3x 109

961:31x 31

882:2x 3x 3x 7x 7

624:2x 2x 2x 2x 3x 13

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 3 = 18

Therefore, the value for common factors is 18.

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 = 172951492896/(1x18)

LCM = 172951492896/18

LCM = 9608416272

Thus, we can understand that the LCM of 327,961,882,624 is 9608416272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 961, 882, 624

1. What is the LCM of 327, 961, 882, 624?

Answer: LCM of 327, 961, 882, 624 is 9608416272.

2. How to calculate the LCM of 327, 961, 882, 624?

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 327, 961, 882, 624.

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}.