LCM of 612, 844, 922, 234, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 844, 922, 234, 120 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, 844, 922, 234, 120. So, keep reading to learn more.
Given numbers are 612,844,922,234,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,844,922,234,120 is 7738880760.
Find LCM of 612,844,922,234,120 with Prime Factorization
| 2 | 612, 844, 922, 234, 120 |
| 2 | 306, 422, 461, 117, 60 |
| 3 | 153, 211, 461, 117, 30 |
| 3 | 51, 211, 461, 39, 10 |
| 17, 211, 461, 13, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 211 x 461 x 13 x 10 = 7738880760
Therefore, the lowest common multiple of 612,844,922,234,120 is 7738880760.
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 844 x 922 x 234 x 120 = 13372785953280
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
844 : 1, 2, 4, 211, 422, 844
922 : 1, 2, 461, 922
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,844,922,234,120, is 2.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
844:2x 2x 211
922:2x 461
234:2x 3x 3x 13
120:2x 2x 2x 3x 5
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 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 13372785953280/(2x864)
LCM = 13372785953280/1728
LCM = 7738880760
Thus, we can understand that the LCM of 612,844,922,234,120 is 7738880760.
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FAQs on LCM of 612, 844, 922, 234, 120
1. What is the LCM of 612, 844, 922, 234, 120?
Answer: LCM of 612, 844, 922, 234, 120 is 7738880760.
2. How to calculate the LCM of 612, 844, 922, 234, 120?
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, 844, 922, 234, 120.
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}.