LCM of 142, 180, 940, 315, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 142, 180, 940, 315, 209 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 142, 180, 940, 315, 209. So, keep reading to learn more.
Given numbers are 142,180,940,315,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 142,180,940,315,209 is 878765580.
Find LCM of 142,180,940,315,209 with Prime Factorization
| 2 | 142, 180, 940, 315, 209 |
| 2 | 71, 90, 470, 315, 209 |
| 3 | 71, 45, 235, 315, 209 |
| 3 | 71, 15, 235, 105, 209 |
| 5 | 71, 5, 235, 35, 209 |
| 71, 1, 47, 7, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 71 x 1 x 47 x 7 x 209 = 878765580
Therefore, the lowest common multiple of 142,180,940,315,209 is 878765580.
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.
142 x 180 x 940 x 315 x 209 = 1581778044000
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.
142 : 1, 2, 71, 142
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,180,940,315,209, is 1.
Now, the common factors can be found like this.
142:2x 71
180:2x 2x 3x 3x 5
940:2x 2x 5x 47
315:3x 3x 5x 7
209:11x 19
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 5x 5 = 1800
Therefore, the value for common factors is 1800.
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 = 1581778044000/(1x1800)
LCM = 1581778044000/1800
LCM = 878765580
Thus, we can understand that the LCM of 142,180,940,315,209 is 878765580.
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FAQs on LCM of 142, 180, 940, 315, 209
1. What is the LCM of 142, 180, 940, 315, 209?
Answer: LCM of 142, 180, 940, 315, 209 is 878765580.
2. How to calculate the LCM of 142, 180, 940, 315, 209?
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 142, 180, 940, 315, 209.
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}.