LCM of 942, 258, 379, 646, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 258, 379, 646, 969 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, 258, 379, 646, 969. So, keep reading to learn more.
Given numbers are 942,258,379,646,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,258,379,646,969 is 4958623002.
Find LCM of 942,258,379,646,969 with Prime Factorization
| 2 | 942, 258, 379, 646, 969 |
| 3 | 471, 129, 379, 323, 969 |
| 17 | 157, 43, 379, 323, 323 |
| 19 | 157, 43, 379, 19, 19 |
| 157, 43, 379, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 157 x 43 x 379 x 1 x 1 = 4958623002
Therefore, the lowest common multiple of 942,258,379,646,969 is 4958623002.
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 258 x 379 x 646 x 969 = 57658868267256
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
258 : 1, 2, 3, 6, 43, 86, 129, 258
379 : 1, 379
646 : 1, 2, 17, 19, 34, 38, 323, 646
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,258,379,646,969, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
258:2x 3x 43
379:379
646:2x 17x 19
969:3x 17x 19
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 3x 3x 17x 19 = 11628
Therefore, the value for common factors is 11628.
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 = 57658868267256/(1x11628)
LCM = 57658868267256/11628
LCM = 4958623002
Thus, we can understand that the LCM of 942,258,379,646,969 is 4958623002.
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FAQs on LCM of 942, 258, 379, 646, 969
1. What is the LCM of 942, 258, 379, 646, 969?
Answer: LCM of 942, 258, 379, 646, 969 is 4958623002.
2. How to calculate the LCM of 942, 258, 379, 646, 969?
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, 258, 379, 646, 969.
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}.