LCM of 134, 260, 144, 103, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 134, 260, 144, 103, 753 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 134, 260, 144, 103, 753. So, keep reading to learn more.
Given numbers are 134,260,144,103,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,260,144,103,753 is 16212933360.
Find LCM of 134,260,144,103,753 with Prime Factorization
| 2 | 134, 260, 144, 103, 753 |
| 2 | 67, 130, 72, 103, 753 |
| 3 | 67, 65, 36, 103, 753 |
| 67, 65, 12, 103, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 65 x 12 x 103 x 251 = 16212933360
Therefore, the lowest common multiple of 134,260,144,103,753 is 16212933360.
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.
134 x 260 x 144 x 103 x 753 = 389110400640
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.
134 : 1, 2, 67, 134
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
103 : 1, 103
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,260,144,103,753, is 1.
Now, the common factors can be found like this.
134:2x 67
260:2x 2x 5x 13
144:2x 2x 2x 2x 3x 3
103:103
753:3x 251
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 3 = 24
Therefore, the value for common factors is 24.
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 = 389110400640/(1x24)
LCM = 389110400640/24
LCM = 16212933360
Thus, we can understand that the LCM of 134,260,144,103,753 is 16212933360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 134, 260, 144, 103, 753
1. What is the LCM of 134, 260, 144, 103, 753?
Answer: LCM of 134, 260, 144, 103, 753 is 16212933360.
2. How to calculate the LCM of 134, 260, 144, 103, 753?
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 134, 260, 144, 103, 753.
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}.