LCM of 556, 180, 279, 700, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 180, 279, 700, 380 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 556, 180, 279, 700, 380. So, keep reading to learn more.
Given numbers are 556,180,279,700,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,180,279,700,380 is 515787300.
Find LCM of 556,180,279,700,380 with Prime Factorization
| 2 | 556, 180, 279, 700, 380 |
| 2 | 278, 90, 279, 350, 190 |
| 3 | 139, 45, 279, 175, 95 |
| 3 | 139, 15, 93, 175, 95 |
| 5 | 139, 5, 31, 175, 95 |
| 139, 1, 31, 35, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 139 x 1 x 31 x 35 x 19 = 515787300
Therefore, the lowest common multiple of 556,180,279,700,380 is 515787300.
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.
556 x 180 x 279 x 700 x 380 = 7427337120000
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.
556 : 1, 2, 4, 139, 278, 556
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
279 : 1, 3, 9, 31, 93, 279
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,180,279,700,380, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
180:2x 2x 3x 3x 5
279:3x 3x 31
700:2x 2x 5x 5x 7
380:2x 2x 5x 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 2x 2x 2x 3x 3x 5x 5 = 14400
Therefore, the value for common factors is 14400.
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 = 7427337120000/(1x14400)
LCM = 7427337120000/14400
LCM = 515787300
Thus, we can understand that the LCM of 556,180,279,700,380 is 515787300.
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FAQs on LCM of 556, 180, 279, 700, 380
1. What is the LCM of 556, 180, 279, 700, 380?
Answer: LCM of 556, 180, 279, 700, 380 is 515787300.
2. How to calculate the LCM of 556, 180, 279, 700, 380?
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 556, 180, 279, 700, 380.
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}.