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LCM of 958, 533, 676, 616, 238

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


Find the LCM of 958, 533, 676, 616, 238 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, 533, 676, 616, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,533,676,616,238

Given numbers are 958,533,676,616,238

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

The LCM of 958,533,676,616,238 is 34756473752.

Find LCM of 958,533,676,616,238 with Prime Factorization


2 958, 533, 676, 616, 238
2 479, 533, 338, 308, 119
7 479, 533, 169, 154, 119
13 479, 533, 169, 22, 17
479, 41, 13, 22, 17

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

2 x 2 x 7 x 13 x 479 x 41 x 13 x 22 x 17 = 34756473752

Therefore, the lowest common multiple of 958,533,676,616,238 is 34756473752.

LCM Formula to Find Lowest Common Multiple of 958,533,676,616,238

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 533 x 676 x 616 x 238 = 50605425782912

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

533 : 1, 13, 41, 533

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,533,676,616,238, is 1.

Now, the common factors can be found like this.

958:2x 479

533:13x 41

676:2x 2x 13x 13

616:2x 2x 2x 7x 11

238:2x 7x 17

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 2x 7x 13 = 1456

Therefore, the value for common factors is 1456.

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 = 50605425782912/(1x1456)

LCM = 50605425782912/1456

LCM = 34756473752

Thus, we can understand that the LCM of 958,533,676,616,238 is 34756473752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 533, 676, 616, 238

1. What is the LCM of 958, 533, 676, 616, 238?

Answer: LCM of 958, 533, 676, 616, 238 is 34756473752.

2. How to calculate the LCM of 958, 533, 676, 616, 238?

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, 533, 676, 616, 238.

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}.