LCM of 578, 782, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 782, 552 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 578, 782, 552. So, keep reading to learn more.
Given numbers are 578,782,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,782,552 is 159528.
Find LCM of 578,782,552 with Prime Factorization
| 2 | 578, 782, 552 |
| 17 | 289, 391, 276 |
| 23 | 17, 23, 276 |
| 17, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 17 x 1 x 12 = 159528
Therefore, the lowest common multiple of 578,782,552 is 159528.
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.
578 x 782 x 552 = 249501792
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.
578 : 1, 2, 17, 34, 289, 578
782 : 1, 2, 17, 23, 34, 46, 391, 782
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,782,552, is 2.
Now, the common factors can be found like this.
578:2x 17x 17
782:2x 17x 23
552:2x 2x 2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 23 = 782
Therefore, the value for common factors is 782.
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 = 249501792/(2x782)
LCM = 249501792/1564
LCM = 159528
Thus, we can understand that the LCM of 578,782,552 is 159528.
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FAQs on LCM of 578, 782, 552
1. What is the LCM of 578, 782, 552?
Answer: LCM of 578, 782, 552 is 159528.
2. How to calculate the LCM of 578, 782, 552?
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 578, 782, 552.
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}.