LCM of 884, 538, 546, 660, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 538, 546, 660, 140 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 884, 538, 546, 660, 140. So, keep reading to learn more.
Given numbers are 884,538,546,660,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,538,546,660,140 is 274654380.
Find LCM of 884,538,546,660,140 with Prime Factorization
| 2 | 884, 538, 546, 660, 140 |
| 2 | 442, 269, 273, 330, 70 |
| 3 | 221, 269, 273, 165, 35 |
| 5 | 221, 269, 91, 55, 35 |
| 7 | 221, 269, 91, 11, 7 |
| 13 | 221, 269, 13, 11, 1 |
| 17, 269, 1, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 17 x 269 x 1 x 11 x 1 = 274654380
Therefore, the lowest common multiple of 884,538,546,660,140 is 274654380.
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.
884 x 538 x 546 x 660 x 140 = 23993806636800
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
538 : 1, 2, 269, 538
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,538,546,660,140, is 2.
Now, the common factors can be found like this.
884:2x 2x 13x 17
538:2x 269
546:2x 3x 7x 13
660:2x 2x 3x 5x 11
140:2x 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 2x 2x 3x 5x 7x 13 = 43680
Therefore, the value for common factors is 43680.
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 = 23993806636800/(2x43680)
LCM = 23993806636800/87360
LCM = 274654380
Thus, we can understand that the LCM of 884,538,546,660,140 is 274654380.
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FAQs on LCM of 884, 538, 546, 660, 140
1. What is the LCM of 884, 538, 546, 660, 140?
Answer: LCM of 884, 538, 546, 660, 140 is 274654380.
2. How to calculate the LCM of 884, 538, 546, 660, 140?
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 884, 538, 546, 660, 140.
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}.