LCM of 781, 282, 390, 405, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 282, 390, 405, 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 781, 282, 390, 405, 746. So, keep reading to learn more.
Given numbers are 781,282,390,405,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,282,390,405,746 is 144173716830.
Find LCM of 781,282,390,405,746 with Prime Factorization
| 2 | 781, 282, 390, 405, 746 |
| 3 | 781, 141, 195, 405, 373 |
| 5 | 781, 47, 65, 135, 373 |
| 781, 47, 13, 27, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 781 x 47 x 13 x 27 x 373 = 144173716830
Therefore, the lowest common multiple of 781,282,390,405,746 is 144173716830.
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.
781 x 282 x 390 x 405 x 746 = 25951269029400
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.
781 : 1, 11, 71, 781
282 : 1, 2, 3, 6, 47, 94, 141, 282
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,282,390,405,746, is 1.
Now, the common factors can be found like this.
781:11x 71
282:2x 3x 47
390:2x 3x 5x 13
405:3x 3x 3x 3x 5
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 2x 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 25951269029400/(1x180)
LCM = 25951269029400/180
LCM = 144173716830
Thus, we can understand that the LCM of 781,282,390,405,746 is 144173716830.
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FAQs on LCM of 781, 282, 390, 405, 746
1. What is the LCM of 781, 282, 390, 405, 746?
Answer: LCM of 781, 282, 390, 405, 746 is 144173716830.
2. How to calculate the LCM of 781, 282, 390, 405, 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 781, 282, 390, 405, 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}.