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LCM of 476, 626, 602, 126, 327

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


Find the LCM of 476, 626, 602, 126, 327 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 476, 626, 602, 126, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 476,626,602,126,327

Given numbers are 476,626,602,126,327

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

The LCM of 476,626,602,126,327 is 6284760804.

Find LCM of 476,626,602,126,327 with Prime Factorization


2 476, 626, 602, 126, 327
3 238, 313, 301, 63, 327
7 238, 313, 301, 21, 109
34, 313, 43, 3, 109

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

2 x 3 x 7 x 34 x 313 x 43 x 3 x 109 = 6284760804

Therefore, the lowest common multiple of 476,626,602,126,327 is 6284760804.

LCM Formula to Find Lowest Common Multiple of 476,626,602,126,327

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.

476 x 626 x 602 x 126 x 327 = 7390878705504

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

626 : 1, 2, 313, 626

602 : 1, 2, 7, 14, 43, 86, 301, 602

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,626,602,126,327, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

626:2x 313

602:2x 7x 43

126:2x 3x 3x 7

327:3x 109

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 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 7390878705504/(1x1176)

LCM = 7390878705504/1176

LCM = 6284760804

Thus, we can understand that the LCM of 476,626,602,126,327 is 6284760804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 476, 626, 602, 126, 327

1. What is the LCM of 476, 626, 602, 126, 327?

Answer: LCM of 476, 626, 602, 126, 327 is 6284760804.

2. How to calculate the LCM of 476, 626, 602, 126, 327?

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 476, 626, 602, 126, 327.

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}.