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LCM of 604, 538, 922, 922, 766

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


Find the LCM of 604, 538, 922, 922, 766 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 604, 538, 922, 922, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,538,922,922,766

Given numbers are 604,538,922,922,766

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

The LCM of 604,538,922,922,766 is 28687249988.

Find LCM of 604,538,922,922,766 with Prime Factorization


2 604, 538, 922, 922, 766
461 302, 269, 461, 461, 383
302, 269, 1, 1, 383

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

2 x 461 x 302 x 269 x 1 x 1 x 383 = 28687249988

Therefore, the lowest common multiple of 604,538,922,922,766 is 28687249988.

LCM Formula to Find Lowest Common Multiple of 604,538,922,922,766

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.

604 x 538 x 922 x 922 x 766 = 211597155911488

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.

604 : 1, 2, 4, 151, 302, 604

538 : 1, 2, 269, 538

922 : 1, 2, 461, 922

922 : 1, 2, 461, 922

766 : 1, 2, 383, 766

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,538,922,922,766, is 2.

Now, the common factors can be found like this.

604:2x 2x 151

538:2x 269

922:2x 461

922:2x 461

766:2x 383

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 461 = 3688

Therefore, the value for common factors is 3688.

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 = 211597155911488/(2x3688)

LCM = 211597155911488/7376

LCM = 28687249988

Thus, we can understand that the LCM of 604,538,922,922,766 is 28687249988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 538, 922, 922, 766

1. What is the LCM of 604, 538, 922, 922, 766?

Answer: LCM of 604, 538, 922, 922, 766 is 28687249988.

2. How to calculate the LCM of 604, 538, 922, 922, 766?

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 604, 538, 922, 922, 766.

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}.