LCM of 234, 703, 845, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 703, 845, 334 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 234, 703, 845, 334. So, keep reading to learn more.
Given numbers are 234,703,845,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,703,845,334 is 1785669210.
Find LCM of 234,703,845,334 with Prime Factorization
| 2 | 234, 703, 845, 334 |
| 13 | 117, 703, 845, 167 |
| 9, 703, 65, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 9 x 703 x 65 x 167 = 1785669210
Therefore, the lowest common multiple of 234,703,845,334 is 1785669210.
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.
234 x 703 x 845 x 334 = 46427399460
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
703 : 1, 19, 37, 703
845 : 1, 5, 13, 65, 169, 845
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,703,845,334, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
703:19x 37
845:5x 13x 13
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 46427399460/(1x26)
LCM = 46427399460/26
LCM = 1785669210
Thus, we can understand that the LCM of 234,703,845,334 is 1785669210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 234, 703, 845, 334
1. What is the LCM of 234, 703, 845, 334?
Answer: LCM of 234, 703, 845, 334 is 1785669210.
2. How to calculate the LCM of 234, 703, 845, 334?
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 234, 703, 845, 334.
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}.