LCM of 937, 494, 152, 976, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 494, 152, 976, 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 937, 494, 152, 976, 969. So, keep reading to learn more.
Given numbers are 937,494,152,976,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,494,152,976,969 is 11520107664.
Find LCM of 937,494,152,976,969 with Prime Factorization
| 2 | 937, 494, 152, 976, 969 |
| 2 | 937, 247, 76, 488, 969 |
| 2 | 937, 247, 38, 244, 969 |
| 19 | 937, 247, 19, 122, 969 |
| 937, 13, 1, 122, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 937 x 13 x 1 x 122 x 51 = 11520107664
Therefore, the lowest common multiple of 937,494,152,976,969 is 11520107664.
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.
937 x 494 x 152 x 976 x 969 = 66540141867264
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.
937 : 1, 937
494 : 1, 2, 13, 19, 26, 38, 247, 494
152 : 1, 2, 4, 8, 19, 38, 76, 152
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
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 937,494,152,976,969, is 1.
Now, the common factors can be found like this.
937:937
494:2x 13x 19
152:2x 2x 2x 19
976:2x 2x 2x 2x 61
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 2x 2x 19x 19 = 5776
Therefore, the value for common factors is 5776.
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 = 66540141867264/(1x5776)
LCM = 66540141867264/5776
LCM = 11520107664
Thus, we can understand that the LCM of 937,494,152,976,969 is 11520107664.
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FAQs on LCM of 937, 494, 152, 976, 969
1. What is the LCM of 937, 494, 152, 976, 969?
Answer: LCM of 937, 494, 152, 976, 969 is 11520107664.
2. How to calculate the LCM of 937, 494, 152, 976, 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 937, 494, 152, 976, 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}.