LCM of 445, 308, 132, 594, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 445, 308, 132, 594, 222 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 445, 308, 132, 594, 222. So, keep reading to learn more.
Given numbers are 445,308,132,594,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,308,132,594,222 is 136922940.
Find LCM of 445,308,132,594,222 with Prime Factorization
| 2 | 445, 308, 132, 594, 222 |
| 2 | 445, 154, 66, 297, 111 |
| 3 | 445, 77, 33, 297, 111 |
| 11 | 445, 77, 11, 99, 37 |
| 445, 7, 1, 9, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 445 x 7 x 1 x 9 x 37 = 136922940
Therefore, the lowest common multiple of 445,308,132,594,222 is 136922940.
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.
445 x 308 x 132 x 594 x 222 = 2385745306560
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.
445 : 1, 5, 89, 445
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,308,132,594,222, is 1.
Now, the common factors can be found like this.
445:5x 89
308:2x 2x 7x 11
132:2x 2x 3x 11
594:2x 3x 3x 3x 11
222:2x 3x 37
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 11x 11 = 17424
Therefore, the value for common factors is 17424.
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 = 2385745306560/(1x17424)
LCM = 2385745306560/17424
LCM = 136922940
Thus, we can understand that the LCM of 445,308,132,594,222 is 136922940.
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FAQs on LCM of 445, 308, 132, 594, 222
1. What is the LCM of 445, 308, 132, 594, 222?
Answer: LCM of 445, 308, 132, 594, 222 is 136922940.
2. How to calculate the LCM of 445, 308, 132, 594, 222?
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 445, 308, 132, 594, 222.
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}.