LCM of 612, 612, 743, 222, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 612, 743, 222, 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 612, 612, 743, 222, 342. So, keep reading to learn more.
Given numbers are 612,612,743,222,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,612,743,222,342 is 319665348.
Find LCM of 612,612,743,222,342 with Prime Factorization
| 2 | 612, 612, 743, 222, 342 |
| 2 | 306, 306, 743, 111, 171 |
| 3 | 153, 153, 743, 111, 171 |
| 3 | 51, 51, 743, 37, 57 |
| 17 | 17, 17, 743, 37, 19 |
| 1, 1, 743, 37, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 1 x 1 x 743 x 37 x 19 = 319665348
Therefore, the lowest common multiple of 612,612,743,222,342 is 319665348.
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.
612 x 612 x 743 x 222 x 342 = 21128600841408
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
743 : 1, 743
222 : 1, 2, 3, 6, 37, 74, 111, 222
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,612,743,222,342, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
612:2x 2x 3x 3x 17
743:743
222:2x 3x 37
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 3x 3x 3x 3x 3x 17 = 66096
Therefore, the value for common factors is 66096.
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 = 21128600841408/(1x66096)
LCM = 21128600841408/66096
LCM = 319665348
Thus, we can understand that the LCM of 612,612,743,222,342 is 319665348.
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FAQs on LCM of 612, 612, 743, 222, 342
1. What is the LCM of 612, 612, 743, 222, 342?
Answer: LCM of 612, 612, 743, 222, 342 is 319665348.
2. How to calculate the LCM of 612, 612, 743, 222, 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 612, 612, 743, 222, 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}.