LCM of 222, 860, 754, 172, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 860, 754, 172, 658 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 222, 860, 754, 172, 658. So, keep reading to learn more.
Given numbers are 222,860,754,172,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,860,754,172,658 is 11840190180.
Find LCM of 222,860,754,172,658 with Prime Factorization
| 2 | 222, 860, 754, 172, 658 |
| 2 | 111, 430, 377, 86, 329 |
| 43 | 111, 215, 377, 43, 329 |
| 111, 5, 377, 1, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 111 x 5 x 377 x 1 x 329 = 11840190180
Therefore, the lowest common multiple of 222,860,754,172,658 is 11840190180.
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.
222 x 860 x 754 x 172 x 658 = 16292101687680
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
754 : 1, 2, 13, 26, 29, 58, 377, 754
172 : 1, 2, 4, 43, 86, 172
658 : 1, 2, 7, 14, 47, 94, 329, 658
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,860,754,172,658, is 2.
Now, the common factors can be found like this.
222:2x 3x 37
860:2x 2x 5x 43
754:2x 13x 29
172:2x 2x 43
658:2x 7x 47
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 43 = 688
Therefore, the value for common factors is 688.
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 = 16292101687680/(2x688)
LCM = 16292101687680/1376
LCM = 11840190180
Thus, we can understand that the LCM of 222,860,754,172,658 is 11840190180.
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FAQs on LCM of 222, 860, 754, 172, 658
1. What is the LCM of 222, 860, 754, 172, 658?
Answer: LCM of 222, 860, 754, 172, 658 is 11840190180.
2. How to calculate the LCM of 222, 860, 754, 172, 658?
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 222, 860, 754, 172, 658.
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}.