LCM of 222, 754, 324, 957, 669
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 754, 324, 957, 669 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, 754, 324, 957, 669. So, keep reading to learn more.
Given numbers are 222,754,324,957,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,754,324,957,669 is 11086274628.
Find LCM of 222,754,324,957,669 with Prime Factorization
| 2 | 222, 754, 324, 957, 669 |
| 3 | 111, 377, 162, 957, 669 |
| 29 | 37, 377, 54, 319, 223 |
| 37, 13, 54, 11, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 37 x 13 x 54 x 11 x 223 = 11086274628
Therefore, the lowest common multiple of 222,754,324,957,669 is 11086274628.
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 754 x 324 x 957 x 669 = 34722212134896
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
957 : 1, 3, 11, 29, 33, 87, 319, 957
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,754,324,957,669, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
754:2x 13x 29
324:2x 2x 3x 3x 3x 3
957:3x 11x 29
669:3x 223
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 3x 3x 3x 29 = 3132
Therefore, the value for common factors is 3132.
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 = 34722212134896/(1x3132)
LCM = 34722212134896/3132
LCM = 11086274628
Thus, we can understand that the LCM of 222,754,324,957,669 is 11086274628.
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FAQs on LCM of 222, 754, 324, 957, 669
1. What is the LCM of 222, 754, 324, 957, 669?
Answer: LCM of 222, 754, 324, 957, 669 is 11086274628.
2. How to calculate the LCM of 222, 754, 324, 957, 669?
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, 754, 324, 957, 669.
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}.