LCM of 802, 972, 360, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 972, 360, 123 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 802, 972, 360, 123. So, keep reading to learn more.
Given numbers are 802,972,360,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,972,360,123 is 159806520.
Find LCM of 802,972,360,123 with Prime Factorization
| 2 | 802, 972, 360, 123 |
| 2 | 401, 486, 180, 123 |
| 3 | 401, 243, 90, 123 |
| 3 | 401, 81, 30, 41 |
| 401, 27, 10, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 401 x 27 x 10 x 41 = 159806520
Therefore, the lowest common multiple of 802,972,360,123 is 159806520.
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.
802 x 972 x 360 x 123 = 34518208320
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.
802 : 1, 2, 401, 802
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,972,360,123, is 1.
Now, the common factors can be found like this.
802:2x 401
972:2x 2x 3x 3x 3x 3x 3
360:2x 2x 2x 3x 3x 5
123:3x 41
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 = 34518208320/(1x216)
LCM = 34518208320/216
LCM = 159806520
Thus, we can understand that the LCM of 802,972,360,123 is 159806520.
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FAQs on LCM of 802, 972, 360, 123
1. What is the LCM of 802, 972, 360, 123?
Answer: LCM of 802, 972, 360, 123 is 159806520.
2. How to calculate the LCM of 802, 972, 360, 123?
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 802, 972, 360, 123.
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}.