LCM of 822, 141, 678, 972, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 141, 678, 972, 374 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 822, 141, 678, 972, 374. So, keep reading to learn more.
Given numbers are 822,141,678,972,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,141,678,972,374 is 132252758748.
Find LCM of 822,141,678,972,374 with Prime Factorization
| 2 | 822, 141, 678, 972, 374 |
| 3 | 411, 141, 339, 486, 187 |
| 137, 47, 113, 162, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 47 x 113 x 162 x 187 = 132252758748
Therefore, the lowest common multiple of 822,141,678,972,374 is 132252758748.
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.
822 x 141 x 678 x 972 x 374 = 28566595889568
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
141 : 1, 3, 47, 141
678 : 1, 2, 3, 6, 113, 226, 339, 678
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,141,678,972,374, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
141:3x 47
678:2x 3x 113
972:2x 2x 3x 3x 3x 3x 3
374:2x 11x 17
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 28566595889568/(1x216)
LCM = 28566595889568/216
LCM = 132252758748
Thus, we can understand that the LCM of 822,141,678,972,374 is 132252758748.
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FAQs on LCM of 822, 141, 678, 972, 374
1. What is the LCM of 822, 141, 678, 972, 374?
Answer: LCM of 822, 141, 678, 972, 374 is 132252758748.
2. How to calculate the LCM of 822, 141, 678, 972, 374?
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 822, 141, 678, 972, 374.
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}.