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LCM of 473, 805, 293, 860

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


Find the LCM of 473, 805, 293, 860 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 473, 805, 293, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,805,293,860

Given numbers are 473,805,293,860

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

The LCM of 473,805,293,860 is 446256580.

Find LCM of 473,805,293,860 with Prime Factorization


5 473, 805, 293, 860
43 473, 161, 293, 172
11, 161, 293, 4

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

5 x 43 x 11 x 161 x 293 x 4 = 446256580

Therefore, the lowest common multiple of 473,805,293,860 is 446256580.

LCM Formula to Find Lowest Common Multiple of 473,805,293,860

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.

473 x 805 x 293 x 860 = 95945164700

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.

473 : 1, 11, 43, 473

805 : 1, 5, 7, 23, 35, 115, 161, 805

293 : 1, 293

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,805,293,860, is 1.

Now, the common factors can be found like this.

473:11x 43

805:5x 7x 23

293:293

860:2x 2x 5x 43

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

5x 43 = 215

Therefore, the value for common factors is 215.

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 = 95945164700/(1x215)

LCM = 95945164700/215

LCM = 446256580

Thus, we can understand that the LCM of 473,805,293,860 is 446256580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 805, 293, 860

1. What is the LCM of 473, 805, 293, 860?

Answer: LCM of 473, 805, 293, 860 is 446256580.

2. How to calculate the LCM of 473, 805, 293, 860?

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 473, 805, 293, 860.

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}.