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LCM of 762, 698, 198, 349, 466

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


Find the LCM of 762, 698, 198, 349, 466 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 762, 698, 198, 349, 466. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 762,698,198,349,466

Given numbers are 762,698,198,349,466

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

The LCM of 762,698,198,349,466 is 2044797282.

Find LCM of 762,698,198,349,466 with Prime Factorization


2 762, 698, 198, 349, 466
3 381, 349, 99, 349, 233
349 127, 349, 33, 349, 233
127, 1, 33, 1, 233

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

2 x 3 x 349 x 127 x 1 x 33 x 1 x 233 = 2044797282

Therefore, the lowest common multiple of 762,698,198,349,466 is 2044797282.

LCM Formula to Find Lowest Common Multiple of 762,698,198,349,466

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.

762 x 698 x 198 x 349 x 466 = 17127222034032

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

698 : 1, 2, 349, 698

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

349 : 1, 349

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,698,198,349,466, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

698:2x 349

198:2x 3x 3x 11

349:349

466:2x 233

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 3x 349 = 8376

Therefore, the value for common factors is 8376.

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 = 17127222034032/(1x8376)

LCM = 17127222034032/8376

LCM = 2044797282

Thus, we can understand that the LCM of 762,698,198,349,466 is 2044797282.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 762, 698, 198, 349, 466

1. What is the LCM of 762, 698, 198, 349, 466?

Answer: LCM of 762, 698, 198, 349, 466 is 2044797282.

2. How to calculate the LCM of 762, 698, 198, 349, 466?

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 762, 698, 198, 349, 466.

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}.