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LCM of 468, 990, 882, 126

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


Find the LCM of 468, 990, 882, 126 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 468, 990, 882, 126. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,990,882,126

Given numbers are 468,990,882,126

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

The LCM of 468,990,882,126 is 1261260.

Find LCM of 468,990,882,126 with Prime Factorization


2 468, 990, 882, 126
3 234, 495, 441, 63
3 78, 165, 147, 21
7 26, 55, 49, 7
26, 55, 1, 7

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

2 x 3 x 3 x 7 x 26 x 55 x 1 x 7 = 1261260

Therefore, the lowest common multiple of 468,990,882,126 is 1261260.

LCM Formula to Find Lowest Common Multiple of 468,990,882,126

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.

468 x 990 x 882 x 126 = 51489678240

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

18 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,990,882,126, is 18.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

990:2x 3x 3x 5x 11

882:2x 3x 3x 7x 7

126:2x 3x 3x 7

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 3x 7 = 2268

Therefore, the value for common factors is 2268.

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 = 51489678240/(18x2268)

LCM = 51489678240/40824

LCM = 1261260

Thus, we can understand that the LCM of 468,990,882,126 is 1261260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 990, 882, 126

1. What is the LCM of 468, 990, 882, 126?

Answer: LCM of 468, 990, 882, 126 is 1261260.

2. How to calculate the LCM of 468, 990, 882, 126?

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 468, 990, 882, 126.

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}.