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LCM of 814, 507, 397, 473, 373

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


Find the LCM of 814, 507, 397, 473, 373 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 814, 507, 397, 473, 373. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,507,397,473,373

Given numbers are 814,507,397,473,373

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

The LCM of 814,507,397,473,373 is 2627847499134.

Find LCM of 814,507,397,473,373 with Prime Factorization


11 814, 507, 397, 473, 373
74, 507, 397, 43, 373

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

11 x 74 x 507 x 397 x 43 x 373 = 2627847499134

Therefore, the lowest common multiple of 814,507,397,473,373 is 2627847499134.

LCM Formula to Find Lowest Common Multiple of 814,507,397,473,373

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.

814 x 507 x 397 x 473 x 373 = 28906322490474

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

507 : 1, 3, 13, 39, 169, 507

397 : 1, 397

473 : 1, 11, 43, 473

373 : 1, 373

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,507,397,473,373, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

507:3x 13x 13

397:397

473:11x 43

373:373

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 = 28906322490474/(1x11)

LCM = 28906322490474/11

LCM = 2627847499134

Thus, we can understand that the LCM of 814,507,397,473,373 is 2627847499134.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 507, 397, 473, 373

1. What is the LCM of 814, 507, 397, 473, 373?

Answer: LCM of 814, 507, 397, 473, 373 is 2627847499134.

2. How to calculate the LCM of 814, 507, 397, 473, 373?

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 814, 507, 397, 473, 373.

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}.