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LCM of 762, 566, 622, 635

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


Find the LCM of 762, 566, 622, 635 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, 566, 622, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 762,566,622,635

Given numbers are 762,566,622,635

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

The LCM of 762,566,622,635 is 335329530.

Find LCM of 762,566,622,635 with Prime Factorization


2 762, 566, 622, 635
127 381, 283, 311, 635
3, 283, 311, 5

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

2 x 127 x 3 x 283 x 311 x 5 = 335329530

Therefore, the lowest common multiple of 762,566,622,635 is 335329530.

LCM Formula to Find Lowest Common Multiple of 762,566,622,635

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 566 x 622 x 635 = 170347401240

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

566 : 1, 2, 283, 566

622 : 1, 2, 311, 622

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,566,622,635, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

566:2x 283

622:2x 311

635:5x 127

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 127 = 508

Therefore, the value for common factors is 508.

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 = 170347401240/(1x508)

LCM = 170347401240/508

LCM = 335329530

Thus, we can understand that the LCM of 762,566,622,635 is 335329530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 762, 566, 622, 635

1. What is the LCM of 762, 566, 622, 635?

Answer: LCM of 762, 566, 622, 635 is 335329530.

2. How to calculate the LCM of 762, 566, 622, 635?

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, 566, 622, 635.

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}.