LCM of 733, 939, 306, 105, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 939, 306, 105, 346 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 733, 939, 306, 105, 346. So, keep reading to learn more.
Given numbers are 733,939,306,105,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,939,306,105,346 is 425092934070.
Find LCM of 733,939,306,105,346 with Prime Factorization
| 2 | 733, 939, 306, 105, 346 |
| 3 | 733, 939, 153, 105, 173 |
| 733, 313, 51, 35, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 733 x 313 x 51 x 35 x 173 = 425092934070
Therefore, the lowest common multiple of 733,939,306,105,346 is 425092934070.
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.
733 x 939 x 306 x 105 x 346 = 7651672813260
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.
733 : 1, 733
939 : 1, 3, 313, 939
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
105 : 1, 3, 5, 7, 15, 21, 35, 105
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,939,306,105,346, is 1.
Now, the common factors can be found like this.
733:733
939:3x 313
306:2x 3x 3x 17
105:3x 5x 7
346:2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 7651672813260/(1x18)
LCM = 7651672813260/18
LCM = 425092934070
Thus, we can understand that the LCM of 733,939,306,105,346 is 425092934070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 733, 939, 306, 105, 346
1. What is the LCM of 733, 939, 306, 105, 346?
Answer: LCM of 733, 939, 306, 105, 346 is 425092934070.
2. How to calculate the LCM of 733, 939, 306, 105, 346?
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 733, 939, 306, 105, 346.
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}.