LCM of 902, 123, 969, 883, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 123, 969, 883, 972 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 902, 123, 969, 883, 972. So, keep reading to learn more.
Given numbers are 902,123,969,883,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,123,969,883,972 is 125027639748.
Find LCM of 902,123,969,883,972 with Prime Factorization
| 2 | 902, 123, 969, 883, 972 |
| 3 | 451, 123, 969, 883, 486 |
| 41 | 451, 41, 323, 883, 162 |
| 11, 1, 323, 883, 162 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 11 x 1 x 323 x 883 x 162 = 125027639748
Therefore, the lowest common multiple of 902,123,969,883,972 is 125027639748.
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.
902 x 123 x 969 x 883 x 972 = 92270398134024
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
123 : 1, 3, 41, 123
969 : 1, 3, 17, 19, 51, 57, 323, 969
883 : 1, 883
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,123,969,883,972, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
123:3x 41
969:3x 17x 19
883:883
972:2x 2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 41 = 738
Therefore, the value for common factors is 738.
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 = 92270398134024/(1x738)
LCM = 92270398134024/738
LCM = 125027639748
Thus, we can understand that the LCM of 902,123,969,883,972 is 125027639748.
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FAQs on LCM of 902, 123, 969, 883, 972
1. What is the LCM of 902, 123, 969, 883, 972?
Answer: LCM of 902, 123, 969, 883, 972 is 125027639748.
2. How to calculate the LCM of 902, 123, 969, 883, 972?
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 902, 123, 969, 883, 972.
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}.