LCM of 712, 228, 285, 342, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 228, 285, 342, 890 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 712, 228, 285, 342, 890. So, keep reading to learn more.
Given numbers are 712,228,285,342,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,228,285,342,890 is 608760.
Find LCM of 712,228,285,342,890 with Prime Factorization
| 2 | 712, 228, 285, 342, 890 |
| 2 | 356, 114, 285, 171, 445 |
| 3 | 178, 57, 285, 171, 445 |
| 5 | 178, 19, 95, 57, 445 |
| 19 | 178, 19, 19, 57, 89 |
| 89 | 178, 1, 1, 3, 89 |
| 2, 1, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 89 x 2 x 1 x 1 x 3 x 1 = 608760
Therefore, the lowest common multiple of 712,228,285,342,890 is 608760.
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.
712 x 228 x 285 x 342 x 890 = 14082372028800
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
285 : 1, 3, 5, 15, 19, 57, 95, 285
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,228,285,342,890, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
228:2x 2x 3x 19
285:3x 5x 19
342:2x 3x 3x 19
890:2x 5x 89
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 3x 3x 5x 19x 19x 89 = 23132880
Therefore, the value for common factors is 23132880.
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 = 14082372028800/(1x23132880)
LCM = 14082372028800/23132880
LCM = 608760
Thus, we can understand that the LCM of 712,228,285,342,890 is 608760.
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FAQs on LCM of 712, 228, 285, 342, 890
1. What is the LCM of 712, 228, 285, 342, 890?
Answer: LCM of 712, 228, 285, 342, 890 is 608760.
2. How to calculate the LCM of 712, 228, 285, 342, 890?
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 712, 228, 285, 342, 890.
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}.