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LCM of 331, 774, 817, 473

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


Find the LCM of 331, 774, 817, 473 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 331, 774, 817, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,774,817,473

Given numbers are 331,774,817,473

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

The LCM of 331,774,817,473 is 53544546.

Find LCM of 331,774,817,473 with Prime Factorization


43 331, 774, 817, 473
331, 18, 19, 11

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

43 x 331 x 18 x 19 x 11 = 53544546

Therefore, the lowest common multiple of 331,774,817,473 is 53544546.

LCM Formula to Find Lowest Common Multiple of 331,774,817,473

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.

331 x 774 x 817 x 473 = 99003865554

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.

331 : 1, 331

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

817 : 1, 19, 43, 817

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,774,817,473, is 1.

Now, the common factors can be found like this.

331:331

774:2x 3x 3x 43

817:19x 43

473:11x 43

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

43x 43 = 1849

Therefore, the value for common factors is 1849.

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 = 99003865554/(1x1849)

LCM = 99003865554/1849

LCM = 53544546

Thus, we can understand that the LCM of 331,774,817,473 is 53544546.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 774, 817, 473

1. What is the LCM of 331, 774, 817, 473?

Answer: LCM of 331, 774, 817, 473 is 53544546.

2. How to calculate the LCM of 331, 774, 817, 473?

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 331, 774, 817, 473.

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}.