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LCM of 660, 955, 594

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


Find the LCM of 660, 955, 594 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 660, 955, 594. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 660,955,594

Given numbers are 660,955,594

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

The LCM of 660,955,594 is 1134540.

Find LCM of 660,955,594 with Prime Factorization


2 660, 955, 594
3 330, 955, 297
5 110, 955, 99
11 22, 191, 99
2, 191, 9

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

2 x 3 x 5 x 11 x 2 x 191 x 9 = 1134540

Therefore, the lowest common multiple of 660,955,594 is 1134540.

LCM Formula to Find Lowest Common Multiple of 660,955,594

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.

660 x 955 x 594 = 374398200

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

955 : 1, 5, 191, 955

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,955,594, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

955:5x 191

594:2x 3x 3x 3x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 11 = 330

Therefore, the value for common factors is 330.

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 = 374398200/(1x330)

LCM = 374398200/330

LCM = 1134540

Thus, we can understand that the LCM of 660,955,594 is 1134540.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 660, 955, 594

1. What is the LCM of 660, 955, 594?

Answer: LCM of 660, 955, 594 is 1134540.

2. How to calculate the LCM of 660, 955, 594?

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 660, 955, 594.

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}.