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LCM of 681, 732, 634, 262

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


Find the LCM of 681, 732, 634, 262 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 681, 732, 634, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,732,634,262

Given numbers are 681,732,634,262

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

The LCM of 681,732,634,262 is 6900292428.

Find LCM of 681,732,634,262 with Prime Factorization


2 681, 732, 634, 262
3 681, 366, 317, 131
227, 122, 317, 131

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

2 x 3 x 227 x 122 x 317 x 131 = 6900292428

Therefore, the lowest common multiple of 681,732,634,262 is 6900292428.

LCM Formula to Find Lowest Common Multiple of 681,732,634,262

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.

681 x 732 x 634 x 262 = 82803509136

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.

681 : 1, 3, 227, 681

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

634 : 1, 2, 317, 634

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,732,634,262, is 1.

Now, the common factors can be found like this.

681:3x 227

732:2x 2x 3x 61

634:2x 317

262:2x 131

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 3 = 12

Therefore, the value for common factors is 12.

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 = 82803509136/(1x12)

LCM = 82803509136/12

LCM = 6900292428

Thus, we can understand that the LCM of 681,732,634,262 is 6900292428.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 732, 634, 262

1. What is the LCM of 681, 732, 634, 262?

Answer: LCM of 681, 732, 634, 262 is 6900292428.

2. How to calculate the LCM of 681, 732, 634, 262?

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 681, 732, 634, 262.

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}.