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LCM of 438, 181, 840, 484

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


Find the LCM of 438, 181, 840, 484 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, 181, 840, 484. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 438,181,840,484

Given numbers are 438,181,840,484

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

The LCM of 438,181,840,484 is 1342969320.

Find LCM of 438,181,840,484 with Prime Factorization


2 438, 181, 840, 484
2 219, 181, 420, 242
3 219, 181, 210, 121
73, 181, 70, 121

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

2 x 2 x 3 x 73 x 181 x 70 x 121 = 1342969320

Therefore, the lowest common multiple of 438,181,840,484 is 1342969320.

LCM Formula to Find Lowest Common Multiple of 438,181,840,484

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 181 x 840 x 484 = 32231263680

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

181 : 1, 181

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,181,840,484, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

181:181

840:2x 2x 2x 3x 5x 7

484:2x 2x 11x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 32231263680/(1x24)

LCM = 32231263680/24

LCM = 1342969320

Thus, we can understand that the LCM of 438,181,840,484 is 1342969320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 438, 181, 840, 484

1. What is the LCM of 438, 181, 840, 484?

Answer: LCM of 438, 181, 840, 484 is 1342969320.

2. How to calculate the LCM of 438, 181, 840, 484?

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, 181, 840, 484.

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}.