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LCM of 504, 594, 682, 711

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


Find the LCM of 504, 594, 682, 711 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 504, 594, 682, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 504,594,682,711

Given numbers are 504,594,682,711

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

The LCM of 504,594,682,711 is 40731768.

Find LCM of 504,594,682,711 with Prime Factorization


2 504, 594, 682, 711
3 252, 297, 341, 711
3 84, 99, 341, 237
11 28, 33, 341, 79
28, 3, 31, 79

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

2 x 3 x 3 x 11 x 28 x 3 x 31 x 79 = 40731768

Therefore, the lowest common multiple of 504,594,682,711 is 40731768.

LCM Formula to Find Lowest Common Multiple of 504,594,682,711

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.

504 x 594 x 682 x 711 = 145168021152

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.

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

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

682 : 1, 2, 11, 22, 31, 62, 341, 682

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,594,682,711, is 1.

Now, the common factors can be found like this.

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

594:2x 3x 3x 3x 11

682:2x 11x 31

711:3x 3x 79

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 3x 3x 3x 3x 11 = 3564

Therefore, the value for common factors is 3564.

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 = 145168021152/(1x3564)

LCM = 145168021152/3564

LCM = 40731768

Thus, we can understand that the LCM of 504,594,682,711 is 40731768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 504, 594, 682, 711

1. What is the LCM of 504, 594, 682, 711?

Answer: LCM of 504, 594, 682, 711 is 40731768.

2. How to calculate the LCM of 504, 594, 682, 711?

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 504, 594, 682, 711.

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}.