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LCM of 391, 803, 187, 353, 674

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


Find the LCM of 391, 803, 187, 353, 674 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 391, 803, 187, 353, 674. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,803,187,353,674

Given numbers are 391,803,187,353,674

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

The LCM of 391,803,187,353,674 is 74701084106.

Find LCM of 391,803,187,353,674 with Prime Factorization


11 391, 803, 187, 353, 674
17 391, 73, 17, 353, 674
23, 73, 1, 353, 674

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

11 x 17 x 23 x 73 x 1 x 353 x 674 = 74701084106

Therefore, the lowest common multiple of 391,803,187,353,674 is 74701084106.

LCM Formula to Find Lowest Common Multiple of 391,803,187,353,674

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.

391 x 803 x 187 x 353 x 674 = 13969102727822

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.

391 : 1, 17, 23, 391

803 : 1, 11, 73, 803

187 : 1, 11, 17, 187

353 : 1, 353

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,803,187,353,674, is 1.

Now, the common factors can be found like this.

391:17x 23

803:11x 73

187:11x 17

353:353

674:2x 337

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 13969102727822/(1x187)

LCM = 13969102727822/187

LCM = 74701084106

Thus, we can understand that the LCM of 391,803,187,353,674 is 74701084106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 803, 187, 353, 674

1. What is the LCM of 391, 803, 187, 353, 674?

Answer: LCM of 391, 803, 187, 353, 674 is 74701084106.

2. How to calculate the LCM of 391, 803, 187, 353, 674?

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 391, 803, 187, 353, 674.

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}.