LCM of 942, 869, 969, 874, 569
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 869, 969, 874, 569 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 942, 869, 969, 874, 569. So, keep reading to learn more.
Given numbers are 942,869,969,874,569
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,869,969,874,569 is 3460296424398.
Find LCM of 942,869,969,874,569 with Prime Factorization
| 2 | 942, 869, 969, 874, 569 |
| 3 | 471, 869, 969, 437, 569 |
| 19 | 157, 869, 323, 437, 569 |
| 157, 869, 17, 23, 569 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 157 x 869 x 17 x 23 x 569 = 3460296424398
Therefore, the lowest common multiple of 942,869,969,874,569 is 3460296424398.
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.
942 x 869 x 969 x 874 x 569 = 394473792381372
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
869 : 1, 11, 79, 869
969 : 1, 3, 17, 19, 51, 57, 323, 969
874 : 1, 2, 19, 23, 38, 46, 437, 874
569 : 1, 569
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,869,969,874,569, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
869:11x 79
969:3x 17x 19
874:2x 19x 23
569:569
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 19 = 114
Therefore, the value for common factors is 114.
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 = 394473792381372/(1x114)
LCM = 394473792381372/114
LCM = 3460296424398
Thus, we can understand that the LCM of 942,869,969,874,569 is 3460296424398.
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FAQs on LCM of 942, 869, 969, 874, 569
1. What is the LCM of 942, 869, 969, 874, 569?
Answer: LCM of 942, 869, 969, 874, 569 is 3460296424398.
2. How to calculate the LCM of 942, 869, 969, 874, 569?
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 942, 869, 969, 874, 569.
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}.