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LCM of 398, 473, 221, 565, 377

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


Find the LCM of 398, 473, 221, 565, 377 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 398, 473, 221, 565, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,473,221,565,377

Given numbers are 398,473,221,565,377

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

The LCM of 398,473,221,565,377 is 681683735590.

Find LCM of 398,473,221,565,377 with Prime Factorization


13 398, 473, 221, 565, 377
398, 473, 17, 565, 29

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

13 x 398 x 473 x 17 x 565 x 29 = 681683735590

Therefore, the lowest common multiple of 398,473,221,565,377 is 681683735590.

LCM Formula to Find Lowest Common Multiple of 398,473,221,565,377

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.

398 x 473 x 221 x 565 x 377 = 8861888562670

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.

398 : 1, 2, 199, 398

473 : 1, 11, 43, 473

221 : 1, 13, 17, 221

565 : 1, 5, 113, 565

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,473,221,565,377, is 1.

Now, the common factors can be found like this.

398:2x 199

473:11x 43

221:13x 17

565:5x 113

377:13x 29

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

13 = 13

Therefore, the value for common factors is 13.

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 = 8861888562670/(1x13)

LCM = 8861888562670/13

LCM = 681683735590

Thus, we can understand that the LCM of 398,473,221,565,377 is 681683735590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 473, 221, 565, 377

1. What is the LCM of 398, 473, 221, 565, 377?

Answer: LCM of 398, 473, 221, 565, 377 is 681683735590.

2. How to calculate the LCM of 398, 473, 221, 565, 377?

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 398, 473, 221, 565, 377.

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}.