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LCM of 545, 228, 491, 491, 874

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


Find the LCM of 545, 228, 491, 491, 874 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 545, 228, 491, 491, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 545,228,491,491,874

Given numbers are 545,228,491,491,874

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

The LCM of 545,228,491,491,874 is 1403268180.

Find LCM of 545,228,491,491,874 with Prime Factorization


2 545, 228, 491, 491, 874
19 545, 114, 491, 491, 437
491 545, 6, 491, 491, 23
545, 6, 1, 1, 23

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

2 x 19 x 491 x 545 x 6 x 1 x 1 x 23 = 1403268180

Therefore, the lowest common multiple of 545,228,491,491,874 is 1403268180.

LCM Formula to Find Lowest Common Multiple of 545,228,491,491,874

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.

545 x 228 x 491 x 491 x 874 = 26182177702440

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.

545 : 1, 5, 109, 545

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

491 : 1, 491

491 : 1, 491

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,228,491,491,874, is 1.

Now, the common factors can be found like this.

545:5x 109

228:2x 2x 3x 19

491:491

491:491

874:2x 19x 23

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

2x 19x 491 = 18658

Therefore, the value for common factors is 18658.

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 = 26182177702440/(1x18658)

LCM = 26182177702440/18658

LCM = 1403268180

Thus, we can understand that the LCM of 545,228,491,491,874 is 1403268180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 545, 228, 491, 491, 874

1. What is the LCM of 545, 228, 491, 491, 874?

Answer: LCM of 545, 228, 491, 491, 874 is 1403268180.

2. How to calculate the LCM of 545, 228, 491, 491, 874?

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 545, 228, 491, 491, 874.

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}.