LCM of 780, 905, 146, 487, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 905, 146, 487, 342 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 780, 905, 146, 487, 342. So, keep reading to learn more.
Given numbers are 780,905,146,487,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,905,146,487,342 is 286088140260.
Find LCM of 780,905,146,487,342 with Prime Factorization
| 2 | 780, 905, 146, 487, 342 |
| 3 | 390, 905, 73, 487, 171 |
| 5 | 130, 905, 73, 487, 57 |
| 26, 181, 73, 487, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 26 x 181 x 73 x 487 x 57 = 286088140260
Therefore, the lowest common multiple of 780,905,146,487,342 is 286088140260.
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.
780 x 905 x 146 x 487 x 342 = 17165288415600
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
905 : 1, 5, 181, 905
146 : 1, 2, 73, 146
487 : 1, 487
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,905,146,487,342, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
905:5x 181
146:2x 73
487:487
342:2x 3x 3x 19
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 5 = 60
Therefore, the value for common factors is 60.
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 = 17165288415600/(1x60)
LCM = 17165288415600/60
LCM = 286088140260
Thus, we can understand that the LCM of 780,905,146,487,342 is 286088140260.
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FAQs on LCM of 780, 905, 146, 487, 342
1. What is the LCM of 780, 905, 146, 487, 342?
Answer: LCM of 780, 905, 146, 487, 342 is 286088140260.
2. How to calculate the LCM of 780, 905, 146, 487, 342?
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 780, 905, 146, 487, 342.
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}.