LCM of 740, 905, 720, 295, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 905, 720, 295, 220 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 740, 905, 720, 295, 220. So, keep reading to learn more.
Given numbers are 740,905,720,295,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,905,720,295,220 is 3129374160.
Find LCM of 740,905,720,295,220 with Prime Factorization
| 2 | 740, 905, 720, 295, 220 |
| 2 | 370, 905, 360, 295, 110 |
| 5 | 185, 905, 180, 295, 55 |
| 37, 181, 36, 59, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 37 x 181 x 36 x 59 x 11 = 3129374160
Therefore, the lowest common multiple of 740,905,720,295,220 is 3129374160.
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.
740 x 905 x 720 x 295 x 220 = 31293741600000
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
905 : 1, 5, 181, 905
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
295 : 1, 5, 59, 295
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,905,720,295,220, is 5.
Now, the common factors can be found like this.
740:2x 2x 5x 37
905:5x 181
720:2x 2x 2x 2x 3x 3x 5
295:5x 59
220:2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 5x 5 = 2000
Therefore, the value for common factors is 2000.
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 = 31293741600000/(5x2000)
LCM = 31293741600000/10000
LCM = 3129374160
Thus, we can understand that the LCM of 740,905,720,295,220 is 3129374160.
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FAQs on LCM of 740, 905, 720, 295, 220
1. What is the LCM of 740, 905, 720, 295, 220?
Answer: LCM of 740, 905, 720, 295, 220 is 3129374160.
2. How to calculate the LCM of 740, 905, 720, 295, 220?
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 740, 905, 720, 295, 220.
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}.