LCM of 940, 567, 538, 144, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 567, 538, 144, 840 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 940, 567, 538, 144, 840. So, keep reading to learn more.
Given numbers are 940,567,538,144,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,567,538,144,840 is 573486480.
Find LCM of 940,567,538,144,840 with Prime Factorization
| 2 | 940, 567, 538, 144, 840 |
| 2 | 470, 567, 269, 72, 420 |
| 2 | 235, 567, 269, 36, 210 |
| 3 | 235, 567, 269, 18, 105 |
| 3 | 235, 189, 269, 6, 35 |
| 5 | 235, 63, 269, 2, 35 |
| 7 | 47, 63, 269, 2, 7 |
| 47, 9, 269, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 7 x 47 x 9 x 269 x 2 x 1 = 573486480
Therefore, the lowest common multiple of 940,567,538,144,840 is 573486480.
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.
940 x 567 x 538 x 144 x 840 = 34684462310400
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
538 : 1, 2, 269, 538
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,567,538,144,840, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
567:3x 3x 3x 3x 7
538:2x 269
144:2x 2x 2x 2x 3x 3
840:2x 2x 2x 3x 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 2x 2x 2x 3x 3x 3x 5x 7 = 60480
Therefore, the value for common factors is 60480.
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 = 34684462310400/(1x60480)
LCM = 34684462310400/60480
LCM = 573486480
Thus, we can understand that the LCM of 940,567,538,144,840 is 573486480.
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FAQs on LCM of 940, 567, 538, 144, 840
1. What is the LCM of 940, 567, 538, 144, 840?
Answer: LCM of 940, 567, 538, 144, 840 is 573486480.
2. How to calculate the LCM of 940, 567, 538, 144, 840?
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 940, 567, 538, 144, 840.
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}.