LCM of 139, 312, 975, 576, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 139, 312, 975, 576, 957 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 139, 312, 975, 576, 957. So, keep reading to learn more.
Given numbers are 139,312,975,576,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,312,975,576,957 is 8300635200.
Find LCM of 139,312,975,576,957 with Prime Factorization
| 2 | 139, 312, 975, 576, 957 |
| 2 | 139, 156, 975, 288, 957 |
| 2 | 139, 78, 975, 144, 957 |
| 3 | 139, 39, 975, 72, 957 |
| 13 | 139, 13, 325, 24, 319 |
| 139, 1, 25, 24, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 139 x 1 x 25 x 24 x 319 = 8300635200
Therefore, the lowest common multiple of 139,312,975,576,957 is 8300635200.
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.
139 x 312 x 975 x 576 x 957 = 23308183641600
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.
139 : 1, 139
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,312,975,576,957, is 1.
Now, the common factors can be found like this.
139:139
312:2x 2x 2x 3x 13
975:3x 5x 5x 13
576:2x 2x 2x 2x 2x 2x 3x 3
957:3x 11x 29
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 3x 3x 3x 13 = 2808
Therefore, the value for common factors is 2808.
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 = 23308183641600/(1x2808)
LCM = 23308183641600/2808
LCM = 8300635200
Thus, we can understand that the LCM of 139,312,975,576,957 is 8300635200.
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FAQs on LCM of 139, 312, 975, 576, 957
1. What is the LCM of 139, 312, 975, 576, 957?
Answer: LCM of 139, 312, 975, 576, 957 is 8300635200.
2. How to calculate the LCM of 139, 312, 975, 576, 957?
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 139, 312, 975, 576, 957.
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}.