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LCM of 594, 759, 474, 866

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


Find the LCM of 594, 759, 474, 866 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 594, 759, 474, 866. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 594,759,474,866

Given numbers are 594,759,474,866

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

The LCM of 594,759,474,866 is 467336034.

Find LCM of 594,759,474,866 with Prime Factorization


2 594, 759, 474, 866
3 297, 759, 237, 433
11 99, 253, 79, 433
9, 23, 79, 433

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

2 x 3 x 11 x 9 x 23 x 79 x 433 = 467336034

Therefore, the lowest common multiple of 594,759,474,866 is 467336034.

LCM Formula to Find Lowest Common Multiple of 594,759,474,866

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.

594 x 759 x 474 x 866 = 185065069464

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.

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

474 : 1, 2, 3, 6, 79, 158, 237, 474

866 : 1, 2, 433, 866

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,759,474,866, is 1.

Now, the common factors can be found like this.

594:2x 3x 3x 3x 11

759:3x 11x 23

474:2x 3x 79

866:2x 433

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 11 = 396

Therefore, the value for common factors is 396.

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 = 185065069464/(1x396)

LCM = 185065069464/396

LCM = 467336034

Thus, we can understand that the LCM of 594,759,474,866 is 467336034.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 594, 759, 474, 866

1. What is the LCM of 594, 759, 474, 866?

Answer: LCM of 594, 759, 474, 866 is 467336034.

2. How to calculate the LCM of 594, 759, 474, 866?

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 594, 759, 474, 866.

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}.