LCM of 737, 516, 989, 134
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 516, 989, 134 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 737, 516, 989, 134. So, keep reading to learn more.
Given numbers are 737,516,989,134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,516,989,134 is 8746716.
Find LCM of 737,516,989,134 with Prime Factorization
| 2 | 737, 516, 989, 134 |
| 43 | 737, 258, 989, 67 |
| 67 | 737, 6, 23, 67 |
| 11, 6, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 67 x 11 x 6 x 23 x 1 = 8746716
Therefore, the lowest common multiple of 737,516,989,134 is 8746716.
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.
737 x 516 x 989 x 134 = 50398577592
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.
737 : 1, 11, 67, 737
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
989 : 1, 23, 43, 989
134 : 1, 2, 67, 134
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,516,989,134, is 1.
Now, the common factors can be found like this.
737:11x 67
516:2x 2x 3x 43
989:23x 43
134:2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 43x 67 = 5762
Therefore, the value for common factors is 5762.
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 = 50398577592/(1x5762)
LCM = 50398577592/5762
LCM = 8746716
Thus, we can understand that the LCM of 737,516,989,134 is 8746716.
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FAQs on LCM of 737, 516, 989, 134
1. What is the LCM of 737, 516, 989, 134?
Answer: LCM of 737, 516, 989, 134 is 8746716.
2. How to calculate the LCM of 737, 516, 989, 134?
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 737, 516, 989, 134.
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}.