LCM of 953, 990, 567, 845, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 953, 990, 567, 845, 744 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 953, 990, 567, 845, 744. So, keep reading to learn more.
Given numbers are 953,990,567,845,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,990,567,845,744 is 1245595511160.
Find LCM of 953,990,567,845,744 with Prime Factorization
| 2 | 953, 990, 567, 845, 744 |
| 3 | 953, 495, 567, 845, 372 |
| 3 | 953, 165, 189, 845, 124 |
| 5 | 953, 55, 63, 845, 124 |
| 953, 11, 63, 169, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 953 x 11 x 63 x 169 x 124 = 1245595511160
Therefore, the lowest common multiple of 953,990,567,845,744 is 1245595511160.
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.
953 x 990 x 567 x 845 x 744 = 336310788013200
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.
953 : 1, 953
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
845 : 1, 5, 13, 65, 169, 845
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,990,567,845,744, is 1.
Now, the common factors can be found like this.
953:953
990:2x 3x 3x 5x 11
567:3x 3x 3x 3x 7
845:5x 13x 13
744:2x 2x 2x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 336310788013200/(1x270)
LCM = 336310788013200/270
LCM = 1245595511160
Thus, we can understand that the LCM of 953,990,567,845,744 is 1245595511160.
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FAQs on LCM of 953, 990, 567, 845, 744
1. What is the LCM of 953, 990, 567, 845, 744?
Answer: LCM of 953, 990, 567, 845, 744 is 1245595511160.
2. How to calculate the LCM of 953, 990, 567, 845, 744?
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 953, 990, 567, 845, 744.
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}.