LCM of 276, 124, 590, 177, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 124, 590, 177, 420 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 276, 124, 590, 177, 420. So, keep reading to learn more.
Given numbers are 276,124,590,177,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,124,590,177,420 is 17668140.
Find LCM of 276,124,590,177,420 with Prime Factorization
| 2 | 276, 124, 590, 177, 420 |
| 2 | 138, 62, 295, 177, 210 |
| 3 | 69, 31, 295, 177, 105 |
| 5 | 23, 31, 295, 59, 35 |
| 59 | 23, 31, 59, 59, 7 |
| 23, 31, 1, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 59 x 23 x 31 x 1 x 1 x 7 = 17668140
Therefore, the lowest common multiple of 276,124,590,177,420 is 17668140.
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.
276 x 124 x 590 x 177 x 420 = 1501085174400
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
124 : 1, 2, 4, 31, 62, 124
590 : 1, 2, 5, 10, 59, 118, 295, 590
177 : 1, 3, 59, 177
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,124,590,177,420, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
124:2x 2x 31
590:2x 5x 59
177:3x 59
420:2x 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 3x 3x 5x 59 = 84960
Therefore, the value for common factors is 84960.
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 = 1501085174400/(1x84960)
LCM = 1501085174400/84960
LCM = 17668140
Thus, we can understand that the LCM of 276,124,590,177,420 is 17668140.
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FAQs on LCM of 276, 124, 590, 177, 420
1. What is the LCM of 276, 124, 590, 177, 420?
Answer: LCM of 276, 124, 590, 177, 420 is 17668140.
2. How to calculate the LCM of 276, 124, 590, 177, 420?
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 276, 124, 590, 177, 420.
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}.