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LCM of 187, 533, 418, 491, 603

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


Find the LCM of 187, 533, 418, 491, 603 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 187, 533, 418, 491, 603. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,533,418,491,603

Given numbers are 187,533,418,491,603

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

The LCM of 187,533,418,491,603 is 1121375895354.

Find LCM of 187,533,418,491,603 with Prime Factorization


11 187, 533, 418, 491, 603
17, 533, 38, 491, 603

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

11 x 17 x 533 x 38 x 491 x 603 = 1121375895354

Therefore, the lowest common multiple of 187,533,418,491,603 is 1121375895354.

LCM Formula to Find Lowest Common Multiple of 187,533,418,491,603

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.

187 x 533 x 418 x 491 x 603 = 12335134848894

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.

187 : 1, 11, 17, 187

533 : 1, 13, 41, 533

418 : 1, 2, 11, 19, 22, 38, 209, 418

491 : 1, 491

603 : 1, 3, 9, 67, 201, 603

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,533,418,491,603, is 1.

Now, the common factors can be found like this.

187:11x 17

533:13x 41

418:2x 11x 19

491:491

603:3x 3x 67

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

11 = 11

Therefore, the value for common factors is 11.

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 = 12335134848894/(1x11)

LCM = 12335134848894/11

LCM = 1121375895354

Thus, we can understand that the LCM of 187,533,418,491,603 is 1121375895354.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 533, 418, 491, 603

1. What is the LCM of 187, 533, 418, 491, 603?

Answer: LCM of 187, 533, 418, 491, 603 is 1121375895354.

2. How to calculate the LCM of 187, 533, 418, 491, 603?

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 187, 533, 418, 491, 603.

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}.