LCM of 118, 723, 736, 115, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 723, 736, 115, 965 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 118, 723, 736, 115, 965. So, keep reading to learn more.
Given numbers are 118,723,736,115,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,723,736,115,965 is 30296707680.
Find LCM of 118,723,736,115,965 with Prime Factorization
| 2 | 118, 723, 736, 115, 965 |
| 5 | 59, 723, 368, 115, 965 |
| 23 | 59, 723, 368, 23, 193 |
| 59, 723, 16, 1, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 59 x 723 x 16 x 1 x 193 = 30296707680
Therefore, the lowest common multiple of 118,723,736,115,965 is 30296707680.
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.
118 x 723 x 736 x 115 x 965 = 6968242766400
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.
118 : 1, 2, 59, 118
723 : 1, 3, 241, 723
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
115 : 1, 5, 23, 115
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,723,736,115,965, is 1.
Now, the common factors can be found like this.
118:2x 59
723:3x 241
736:2x 2x 2x 2x 2x 23
115:5x 23
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23 = 230
Therefore, the value for common factors is 230.
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 = 6968242766400/(1x230)
LCM = 6968242766400/230
LCM = 30296707680
Thus, we can understand that the LCM of 118,723,736,115,965 is 30296707680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 118, 723, 736, 115, 965
1. What is the LCM of 118, 723, 736, 115, 965?
Answer: LCM of 118, 723, 736, 115, 965 is 30296707680.
2. How to calculate the LCM of 118, 723, 736, 115, 965?
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 118, 723, 736, 115, 965.
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}.