LCM of 932, 177, 155, 118, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 177, 155, 118, 560 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 932, 177, 155, 118, 560. So, keep reading to learn more.
Given numbers are 932,177,155,118,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,177,155,118,560 is 715943760.
Find LCM of 932,177,155,118,560 with Prime Factorization
| 2 | 932, 177, 155, 118, 560 |
| 2 | 466, 177, 155, 59, 280 |
| 5 | 233, 177, 155, 59, 140 |
| 59 | 233, 177, 31, 59, 28 |
| 233, 3, 31, 1, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 59 x 233 x 3 x 31 x 1 x 28 = 715943760
Therefore, the lowest common multiple of 932,177,155,118,560 is 715943760.
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.
932 x 177 x 155 x 118 x 560 = 1689627273600
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.
932 : 1, 2, 4, 233, 466, 932
177 : 1, 3, 59, 177
155 : 1, 5, 31, 155
118 : 1, 2, 59, 118
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,177,155,118,560, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
177:3x 59
155:5x 31
118:2x 59
560:2x 2x 2x 2x 5x 7
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 5x 59 = 2360
Therefore, the value for common factors is 2360.
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 = 1689627273600/(1x2360)
LCM = 1689627273600/2360
LCM = 715943760
Thus, we can understand that the LCM of 932,177,155,118,560 is 715943760.
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FAQs on LCM of 932, 177, 155, 118, 560
1. What is the LCM of 932, 177, 155, 118, 560?
Answer: LCM of 932, 177, 155, 118, 560 is 715943760.
2. How to calculate the LCM of 932, 177, 155, 118, 560?
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 932, 177, 155, 118, 560.
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}.