LCM of 556, 300, 782, 512, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 300, 782, 512, 342 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, 782, 512, 342. So, keep reading to learn more.
Given numbers are 556,300,782,512,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,300,782,512,342 is 118959091200.
Find LCM of 556,300,782,512,342 with Prime Factorization
| 2 | 556, 300, 782, 512, 342 |
| 2 | 278, 150, 391, 256, 171 |
| 3 | 139, 75, 391, 128, 171 |
| 139, 25, 391, 128, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 25 x 391 x 128 x 57 = 118959091200
Therefore, the lowest common multiple of 556,300,782,512,342 is 118959091200.
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 782 x 512 x 342 = 22840145510400
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,300,782,512,342, is 2.
Now, the common factors can be found like this.
556:2x 2x 139
300:2x 2x 3x 5x 5
782:2x 17x 23
512:2x 2x 2x 2x 2x 2x 2x 2x 2
342:2x 3x 3x 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 3 = 96
Therefore, the value for common factors is 96.
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 = 22840145510400/(2x96)
LCM = 22840145510400/192
LCM = 118959091200
Thus, we can understand that the LCM of 556,300,782,512,342 is 118959091200.
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FAQs on LCM of 556, 300, 782, 512, 342
1. What is the LCM of 556, 300, 782, 512, 342?
Answer: LCM of 556, 300, 782, 512, 342 is 118959091200.
2. How to calculate the LCM of 556, 300, 782, 512, 342?
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, 782, 512, 342.
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}.