LCM of 232, 937, 264, 116, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 937, 264, 116, 758 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 232, 937, 264, 116, 758. So, keep reading to learn more.
Given numbers are 232,937,264,116,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,937,264,116,758 is 2718821688.
Find LCM of 232,937,264,116,758 with Prime Factorization
| 2 | 232, 937, 264, 116, 758 |
| 2 | 116, 937, 132, 58, 379 |
| 2 | 29, 937, 66, 58, 379 |
| 29 | 29, 937, 33, 29, 379 |
| 1, 937, 33, 1, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 1 x 937 x 33 x 1 x 379 = 2718821688
Therefore, the lowest common multiple of 232,937,264,116,758 is 2718821688.
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.
232 x 937 x 264 x 116 x 758 = 5046133052928
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
937 : 1, 937
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
116 : 1, 2, 4, 29, 58, 116
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,937,264,116,758, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
937:937
264:2x 2x 2x 3x 11
116:2x 2x 29
758:2x 379
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 2x 2x 29 = 1856
Therefore, the value for common factors is 1856.
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 = 5046133052928/(1x1856)
LCM = 5046133052928/1856
LCM = 2718821688
Thus, we can understand that the LCM of 232,937,264,116,758 is 2718821688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 232, 937, 264, 116, 758
1. What is the LCM of 232, 937, 264, 116, 758?
Answer: LCM of 232, 937, 264, 116, 758 is 2718821688.
2. How to calculate the LCM of 232, 937, 264, 116, 758?
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 232, 937, 264, 116, 758.
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}.