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LCM of 745, 982, 698, 698, 348

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


Find the LCM of 745, 982, 698, 698, 348 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 745, 982, 698, 698, 348. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 745,982,698,698,348

Given numbers are 745,982,698,698,348

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

The LCM of 745,982,698,698,348 is 44426534340.

Find LCM of 745,982,698,698,348 with Prime Factorization


2 745, 982, 698, 698, 348
349 745, 491, 349, 349, 174
745, 491, 1, 1, 174

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

2 x 349 x 745 x 491 x 1 x 1 x 174 = 44426534340

Therefore, the lowest common multiple of 745,982,698,698,348 is 44426534340.

LCM Formula to Find Lowest Common Multiple of 745,982,698,698,348

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.

745 x 982 x 698 x 698 x 348 = 124038883877280

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.

745 : 1, 5, 149, 745

982 : 1, 2, 491, 982

698 : 1, 2, 349, 698

698 : 1, 2, 349, 698

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,982,698,698,348, is 1.

Now, the common factors can be found like this.

745:5x 149

982:2x 491

698:2x 349

698:2x 349

348:2x 2x 3x 29

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 349 = 2792

Therefore, the value for common factors is 2792.

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 = 124038883877280/(1x2792)

LCM = 124038883877280/2792

LCM = 44426534340

Thus, we can understand that the LCM of 745,982,698,698,348 is 44426534340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 745, 982, 698, 698, 348

1. What is the LCM of 745, 982, 698, 698, 348?

Answer: LCM of 745, 982, 698, 698, 348 is 44426534340.

2. How to calculate the LCM of 745, 982, 698, 698, 348?

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 745, 982, 698, 698, 348.

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}.