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LCM of 654, 310, 394, 504

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


Find the LCM of 654, 310, 394, 504 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 654, 310, 394, 504. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,310,394,504

Given numbers are 654,310,394,504

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

The LCM of 654,310,394,504 is 1677470760.

Find LCM of 654,310,394,504 with Prime Factorization


2 654, 310, 394, 504
3 327, 155, 197, 252
109, 155, 197, 84

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

2 x 3 x 109 x 155 x 197 x 84 = 1677470760

Therefore, the lowest common multiple of 654,310,394,504 is 1677470760.

LCM Formula to Find Lowest Common Multiple of 654,310,394,504

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.

654 x 310 x 394 x 504 = 40259298240

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

310 : 1, 2, 5, 10, 31, 62, 155, 310

394 : 1, 2, 197, 394

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,310,394,504, is 2.

Now, the common factors can be found like this.

654:2x 3x 109

310:2x 5x 31

394:2x 197

504:2x 2x 2x 3x 3x 7

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 = 40259298240/(2x12)

LCM = 40259298240/24

LCM = 1677470760

Thus, we can understand that the LCM of 654,310,394,504 is 1677470760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 310, 394, 504

1. What is the LCM of 654, 310, 394, 504?

Answer: LCM of 654, 310, 394, 504 is 1677470760.

2. How to calculate the LCM of 654, 310, 394, 504?

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 654, 310, 394, 504.

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}.