LCM of 117, 648, 366, 674
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 648, 366, 674 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 117, 648, 366, 674. So, keep reading to learn more.
Given numbers are 117,648,366,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,648,366,674 is 173172168.
Find LCM of 117,648,366,674 with Prime Factorization
| 2 | 117, 648, 366, 674 |
| 3 | 117, 324, 183, 337 |
| 3 | 39, 108, 61, 337 |
| 13, 36, 61, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 36 x 61 x 337 = 173172168
Therefore, the lowest common multiple of 117,648,366,674 is 173172168.
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.
117 x 648 x 366 x 674 = 18702594144
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.
117 : 1, 3, 9, 13, 39, 117
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
366 : 1, 2, 3, 6, 61, 122, 183, 366
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,648,366,674, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
648:2x 2x 2x 3x 3x 3x 3
366:2x 3x 61
674:2x 337
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 18702594144/(1x108)
LCM = 18702594144/108
LCM = 173172168
Thus, we can understand that the LCM of 117,648,366,674 is 173172168.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 117, 648, 366, 674
1. What is the LCM of 117, 648, 366, 674?
Answer: LCM of 117, 648, 366, 674 is 173172168.
2. How to calculate the LCM of 117, 648, 366, 674?
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 117, 648, 366, 674.
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}.