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LCM of 348, 362, 194, 557, 732

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


Find the LCM of 348, 362, 194, 557, 732 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 348, 362, 194, 557, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 348,362,194,557,732

Given numbers are 348,362,194,557,732

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

The LCM of 348,362,194,557,732 is 207593897772.

Find LCM of 348,362,194,557,732 with Prime Factorization


2 348, 362, 194, 557, 732
2 174, 181, 97, 557, 366
3 87, 181, 97, 557, 183
29, 181, 97, 557, 61

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

2 x 2 x 3 x 29 x 181 x 97 x 557 x 61 = 207593897772

Therefore, the lowest common multiple of 348,362,194,557,732 is 207593897772.

LCM Formula to Find Lowest Common Multiple of 348,362,194,557,732

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.

348 x 362 x 194 x 557 x 732 = 9964507093056

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.

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

362 : 1, 2, 181, 362

194 : 1, 2, 97, 194

557 : 1, 557

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,362,194,557,732, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

362:2x 181

194:2x 97

557:557

732:2x 2x 3x 61

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 3 = 48

Therefore, the value for common factors is 48.

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 = 9964507093056/(1x48)

LCM = 9964507093056/48

LCM = 207593897772

Thus, we can understand that the LCM of 348,362,194,557,732 is 207593897772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 348, 362, 194, 557, 732

1. What is the LCM of 348, 362, 194, 557, 732?

Answer: LCM of 348, 362, 194, 557, 732 is 207593897772.

2. How to calculate the LCM of 348, 362, 194, 557, 732?

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 348, 362, 194, 557, 732.

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}.