LCM of 842, 334, 377, 780, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 334, 377, 780, 984 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 842, 334, 377, 780, 984. So, keep reading to learn more.
Given numbers are 842,334,377,780,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,334,377,780,984 is 130408235880.
Find LCM of 842,334,377,780,984 with Prime Factorization
| 2 | 842, 334, 377, 780, 984 |
| 2 | 421, 167, 377, 390, 492 |
| 3 | 421, 167, 377, 195, 246 |
| 13 | 421, 167, 377, 65, 82 |
| 421, 167, 29, 5, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 421 x 167 x 29 x 5 x 82 = 130408235880
Therefore, the lowest common multiple of 842,334,377,780,984 is 130408235880.
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.
842 x 334 x 377 x 780 x 984 = 81374739189120
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.
842 : 1, 2, 421, 842
334 : 1, 2, 167, 334
377 : 1, 13, 29, 377
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
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,334,377,780,984, is 1.
Now, the common factors can be found like this.
842:2x 421
334:2x 167
377:13x 29
780:2x 2x 3x 5x 13
984:2x 2x 2x 3x 41
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 2x 2x 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 81374739189120/(1x624)
LCM = 81374739189120/624
LCM = 130408235880
Thus, we can understand that the LCM of 842,334,377,780,984 is 130408235880.
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FAQs on LCM of 842, 334, 377, 780, 984
1. What is the LCM of 842, 334, 377, 780, 984?
Answer: LCM of 842, 334, 377, 780, 984 is 130408235880.
2. How to calculate the LCM of 842, 334, 377, 780, 984?
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 842, 334, 377, 780, 984.
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}.