LCM of 102, 734, 367, 233, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 734, 367, 233, 374 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 102, 734, 367, 233, 374. So, keep reading to learn more.
Given numbers are 102,734,367,233,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,734,367,233,374 is 95943342.
Find LCM of 102,734,367,233,374 with Prime Factorization
| 2 | 102, 734, 367, 233, 374 |
| 17 | 51, 367, 367, 233, 187 |
| 367 | 3, 367, 367, 233, 11 |
| 3, 1, 1, 233, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 367 x 3 x 1 x 1 x 233 x 11 = 95943342
Therefore, the lowest common multiple of 102,734,367,233,374 is 95943342.
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.
102 x 734 x 367 x 233 x 374 = 2394362042952
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
734 : 1, 2, 367, 734
367 : 1, 367
233 : 1, 233
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,734,367,233,374, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
734:2x 367
367:367
233:233
374:2x 11x 17
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 17x 367 = 24956
Therefore, the value for common factors is 24956.
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 = 2394362042952/(1x24956)
LCM = 2394362042952/24956
LCM = 95943342
Thus, we can understand that the LCM of 102,734,367,233,374 is 95943342.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 102, 734, 367, 233, 374
1. What is the LCM of 102, 734, 367, 233, 374?
Answer: LCM of 102, 734, 367, 233, 374 is 95943342.
2. How to calculate the LCM of 102, 734, 367, 233, 374?
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 102, 734, 367, 233, 374.
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}.