LCM of 143, 390, 975, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 390, 975, 312 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 143, 390, 975, 312. So, keep reading to learn more.
Given numbers are 143,390,975,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,390,975,312 is 85800.
Find LCM of 143,390,975,312 with Prime Factorization
| 2 | 143, 390, 975, 312 |
| 3 | 143, 195, 975, 156 |
| 5 | 143, 65, 325, 52 |
| 13 | 143, 13, 65, 52 |
| 11, 1, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 11 x 1 x 5 x 4 = 85800
Therefore, the lowest common multiple of 143,390,975,312 is 85800.
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.
143 x 390 x 975 x 312 = 16965234000
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.
143 : 1, 11, 13, 143
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,390,975,312, is 13.
Now, the common factors can be found like this.
143:11x 13
390:2x 3x 5x 13
975:3x 5x 5x 13
312:2x 2x 2x 3x 13
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 5x 13x 13 = 15210
Therefore, the value for common factors is 15210.
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 = 16965234000/(13x15210)
LCM = 16965234000/197730
LCM = 85800
Thus, we can understand that the LCM of 143,390,975,312 is 85800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 143, 390, 975, 312
1. What is the LCM of 143, 390, 975, 312?
Answer: LCM of 143, 390, 975, 312 is 85800.
2. How to calculate the LCM of 143, 390, 975, 312?
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 143, 390, 975, 312.
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}.