LCM of 441, 338, 740, 501, 823
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 338, 740, 501, 823 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 441, 338, 740, 501, 823. So, keep reading to learn more.
Given numbers are 441,338,740,501,823
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,338,740,501,823 is 7580071813860.
Find LCM of 441,338,740,501,823 with Prime Factorization
| 2 | 441, 338, 740, 501, 823 |
| 3 | 441, 169, 370, 501, 823 |
| 147, 169, 370, 167, 823 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 147 x 169 x 370 x 167 x 823 = 7580071813860
Therefore, the lowest common multiple of 441,338,740,501,823 is 7580071813860.
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.
441 x 338 x 740 x 501 x 823 = 45480430883160
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
338 : 1, 2, 13, 26, 169, 338
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
501 : 1, 3, 167, 501
823 : 1, 823
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,338,740,501,823, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
338:2x 13x 13
740:2x 2x 5x 37
501:3x 167
823:823
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 45480430883160/(1x6)
LCM = 45480430883160/6
LCM = 7580071813860
Thus, we can understand that the LCM of 441,338,740,501,823 is 7580071813860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 441, 338, 740, 501, 823
1. What is the LCM of 441, 338, 740, 501, 823?
Answer: LCM of 441, 338, 740, 501, 823 is 7580071813860.
2. How to calculate the LCM of 441, 338, 740, 501, 823?
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 441, 338, 740, 501, 823.
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}.