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LCM of 314, 633, 358, 338, 734

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


Find the LCM of 314, 633, 358, 338, 734 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 314, 633, 358, 338, 734. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,633,358,338,734

Given numbers are 314,633,358,338,734

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

The LCM of 314,633,358,338,734 is 2206678979154.

Find LCM of 314,633,358,338,734 with Prime Factorization


2 314, 633, 358, 338, 734
157, 633, 179, 169, 367

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

2 x 157 x 633 x 179 x 169 x 367 = 2206678979154

Therefore, the lowest common multiple of 314,633,358,338,734 is 2206678979154.

LCM Formula to Find Lowest Common Multiple of 314,633,358,338,734

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.

314 x 633 x 358 x 338 x 734 = 17653431833232

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.

314 : 1, 2, 157, 314

633 : 1, 3, 211, 633

358 : 1, 2, 179, 358

338 : 1, 2, 13, 26, 169, 338

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,633,358,338,734, is 1.

Now, the common factors can be found like this.

314:2x 157

633:3x 211

358:2x 179

338:2x 13x 13

734:2x 367

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 2 = 8

Therefore, the value for common factors is 8.

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 = 17653431833232/(1x8)

LCM = 17653431833232/8

LCM = 2206678979154

Thus, we can understand that the LCM of 314,633,358,338,734 is 2206678979154.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 633, 358, 338, 734

1. What is the LCM of 314, 633, 358, 338, 734?

Answer: LCM of 314, 633, 358, 338, 734 is 2206678979154.

2. How to calculate the LCM of 314, 633, 358, 338, 734?

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 314, 633, 358, 338, 734.

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}.