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LCM of 438, 105, 132, 900, 949

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


Find the LCM of 438, 105, 132, 900, 949 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 438, 105, 132, 900, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 438,105,132,900,949

Given numbers are 438,105,132,900,949

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

The LCM of 438,105,132,900,949 is 65765700.

Find LCM of 438,105,132,900,949 with Prime Factorization


2 438, 105, 132, 900, 949
2 219, 105, 66, 450, 949
3 219, 105, 33, 225, 949
5 73, 35, 11, 75, 949
73 73, 7, 11, 15, 949
1, 7, 11, 15, 13

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

2 x 2 x 3 x 5 x 73 x 1 x 7 x 11 x 15 x 13 = 65765700

Therefore, the lowest common multiple of 438,105,132,900,949 is 65765700.

LCM Formula to Find Lowest Common Multiple of 438,105,132,900,949

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.

438 x 105 x 132 x 900 x 949 = 5184967788000

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

105 : 1, 3, 5, 7, 15, 21, 35, 105

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,105,132,900,949, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

105:3x 5x 7

132:2x 2x 3x 11

900:2x 2x 3x 3x 5x 5

949:13x 73

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 2x 3x 3x 3x 5x 73 = 78840

Therefore, the value for common factors is 78840.

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 = 5184967788000/(1x78840)

LCM = 5184967788000/78840

LCM = 65765700

Thus, we can understand that the LCM of 438,105,132,900,949 is 65765700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 438, 105, 132, 900, 949

1. What is the LCM of 438, 105, 132, 900, 949?

Answer: LCM of 438, 105, 132, 900, 949 is 65765700.

2. How to calculate the LCM of 438, 105, 132, 900, 949?

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 438, 105, 132, 900, 949.

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}.