LCM of 556, 300, 180, 506, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 300, 180, 506, 848 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, 300, 180, 506, 848. So, keep reading to learn more.
Given numbers are 556,300,180,506,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,300,180,506,848 is 6709863600.
Find LCM of 556,300,180,506,848 with Prime Factorization
| 2 | 556, 300, 180, 506, 848 |
| 2 | 278, 150, 90, 253, 424 |
| 3 | 139, 75, 45, 253, 212 |
| 5 | 139, 25, 15, 253, 212 |
| 139, 5, 3, 253, 212 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 139 x 5 x 3 x 253 x 212 = 6709863600
Therefore, the lowest common multiple of 556,300,180,506,848 is 6709863600.
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 300 x 180 x 506 x 848 = 12882938112000
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
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
506 : 1, 2, 11, 22, 23, 46, 253, 506
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,300,180,506,848, is 2.
Now, the common factors can be found like this.
556:2x 2x 139
300:2x 2x 3x 5x 5
180:2x 2x 3x 3x 5
506:2x 11x 23
848:2x 2x 2x 2x 53
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 5 = 960
Therefore, the value for common factors is 960.
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 = 12882938112000/(2x960)
LCM = 12882938112000/1920
LCM = 6709863600
Thus, we can understand that the LCM of 556,300,180,506,848 is 6709863600.
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FAQs on LCM of 556, 300, 180, 506, 848
1. What is the LCM of 556, 300, 180, 506, 848?
Answer: LCM of 556, 300, 180, 506, 848 is 6709863600.
2. How to calculate the LCM of 556, 300, 180, 506, 848?
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, 300, 180, 506, 848.
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}.