LCM of 703, 190, 421, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 190, 421, 746 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 703, 190, 421, 746. So, keep reading to learn more.
Given numbers are 703,190,421,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,190,421,746 is 1103941990.
Find LCM of 703,190,421,746 with Prime Factorization
| 2 | 703, 190, 421, 746 |
| 19 | 703, 95, 421, 373 |
| 37, 5, 421, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 37 x 5 x 421 x 373 = 1103941990
Therefore, the lowest common multiple of 703,190,421,746 is 1103941990.
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.
703 x 190 x 421 x 746 = 41949795620
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.
703 : 1, 19, 37, 703
190 : 1, 2, 5, 10, 19, 38, 95, 190
421 : 1, 421
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,190,421,746, is 1.
Now, the common factors can be found like this.
703:19x 37
190:2x 5x 19
421:421
746:2x 373
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 41949795620/(1x38)
LCM = 41949795620/38
LCM = 1103941990
Thus, we can understand that the LCM of 703,190,421,746 is 1103941990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 703, 190, 421, 746
1. What is the LCM of 703, 190, 421, 746?
Answer: LCM of 703, 190, 421, 746 is 1103941990.
2. How to calculate the LCM of 703, 190, 421, 746?
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 703, 190, 421, 746.
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}.