LCM of 922, 627, 120, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 627, 120, 554 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 922, 627, 120, 554. So, keep reading to learn more.
Given numbers are 922,627,120,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,627,120,554 is 3202640760.
Find LCM of 922,627,120,554 with Prime Factorization
| 2 | 922, 627, 120, 554 |
| 3 | 461, 627, 60, 277 |
| 461, 209, 20, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 461 x 209 x 20 x 277 = 3202640760
Therefore, the lowest common multiple of 922,627,120,554 is 3202640760.
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.
922 x 627 x 120 x 554 = 38431689120
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.
922 : 1, 2, 461, 922
627 : 1, 3, 11, 19, 33, 57, 209, 627
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,627,120,554, is 1.
Now, the common factors can be found like this.
922:2x 461
627:3x 11x 19
120:2x 2x 2x 3x 5
554:2x 277
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 3 = 12
Therefore, the value for common factors is 12.
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 = 38431689120/(1x12)
LCM = 38431689120/12
LCM = 3202640760
Thus, we can understand that the LCM of 922,627,120,554 is 3202640760.
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FAQs on LCM of 922, 627, 120, 554
1. What is the LCM of 922, 627, 120, 554?
Answer: LCM of 922, 627, 120, 554 is 3202640760.
2. How to calculate the LCM of 922, 627, 120, 554?
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 922, 627, 120, 554.
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}.