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LCM of 958, 219, 384, 438

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


Find the LCM of 958, 219, 384, 438 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 958, 219, 384, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,219,384,438

Given numbers are 958,219,384,438

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

The LCM of 958,219,384,438 is 13427328.

Find LCM of 958,219,384,438 with Prime Factorization


2 958, 219, 384, 438
3 479, 219, 192, 219
73 479, 73, 64, 73
479, 1, 64, 1

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

2 x 3 x 73 x 479 x 1 x 64 x 1 = 13427328

Therefore, the lowest common multiple of 958,219,384,438 is 13427328.

LCM Formula to Find Lowest Common Multiple of 958,219,384,438

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.

958 x 219 x 384 x 438 = 35287017984

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.

958 : 1, 2, 479, 958

219 : 1, 3, 73, 219

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,219,384,438, is 1.

Now, the common factors can be found like this.

958:2x 479

219:3x 73

384:2x 2x 2x 2x 2x 2x 2x 3

438:2x 3x 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 3x 3x 73 = 2628

Therefore, the value for common factors is 2628.

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 = 35287017984/(1x2628)

LCM = 35287017984/2628

LCM = 13427328

Thus, we can understand that the LCM of 958,219,384,438 is 13427328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 219, 384, 438

1. What is the LCM of 958, 219, 384, 438?

Answer: LCM of 958, 219, 384, 438 is 13427328.

2. How to calculate the LCM of 958, 219, 384, 438?

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 958, 219, 384, 438.

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}.