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LCM of 133, 180, 697, 472, 590

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


Find the LCM of 133, 180, 697, 472, 590 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 133, 180, 697, 472, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 133,180,697,472,590

Given numbers are 133,180,697,472,590

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

The LCM of 133,180,697,472,590 is 1968969240.

Find LCM of 133,180,697,472,590 with Prime Factorization


2 133, 180, 697, 472, 590
2 133, 90, 697, 236, 295
5 133, 45, 697, 118, 295
59 133, 9, 697, 118, 59
133, 9, 697, 2, 1

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

2 x 2 x 5 x 59 x 133 x 9 x 697 x 2 x 1 = 1968969240

Therefore, the lowest common multiple of 133,180,697,472,590 is 1968969240.

LCM Formula to Find Lowest Common Multiple of 133,180,697,472,590

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.

133 x 180 x 697 x 472 x 590 = 4646767406400

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.

133 : 1, 7, 19, 133

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

697 : 1, 17, 41, 697

472 : 1, 2, 4, 8, 59, 118, 236, 472

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,180,697,472,590, is 1.

Now, the common factors can be found like this.

133:7x 19

180:2x 2x 3x 3x 5

697:17x 41

472:2x 2x 2x 59

590:2x 5x 59

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 5x 59 = 2360

Therefore, the value for common factors is 2360.

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 = 4646767406400/(1x2360)

LCM = 4646767406400/2360

LCM = 1968969240

Thus, we can understand that the LCM of 133,180,697,472,590 is 1968969240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 133, 180, 697, 472, 590

1. What is the LCM of 133, 180, 697, 472, 590?

Answer: LCM of 133, 180, 697, 472, 590 is 1968969240.

2. How to calculate the LCM of 133, 180, 697, 472, 590?

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 133, 180, 697, 472, 590.

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}.