LCM of 361, 935, 594, 374, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 935, 594, 374, 820 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 361, 935, 594, 374, 820. So, keep reading to learn more.
Given numbers are 361,935,594,374,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,935,594,374,820 is 1494604980.
Find LCM of 361,935,594,374,820 with Prime Factorization
| 2 | 361, 935, 594, 374, 820 |
| 5 | 361, 935, 297, 187, 410 |
| 11 | 361, 187, 297, 187, 82 |
| 17 | 361, 17, 27, 17, 82 |
| 361, 1, 27, 1, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 361 x 1 x 27 x 1 x 82 = 1494604980
Therefore, the lowest common multiple of 361,935,594,374,820 is 1494604980.
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.
361 x 935 x 594 x 374 x 820 = 61488048877200
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.
361 : 1, 19, 361
935 : 1, 5, 11, 17, 55, 85, 187, 935
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
374 : 1, 2, 11, 17, 22, 34, 187, 374
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,935,594,374,820, is 1.
Now, the common factors can be found like this.
361:19x 19
935:5x 11x 17
594:2x 3x 3x 3x 11
374:2x 11x 17
820:2x 2x 5x 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 5x 11x 11x 17 = 41140
Therefore, the value for common factors is 41140.
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 = 61488048877200/(1x41140)
LCM = 61488048877200/41140
LCM = 1494604980
Thus, we can understand that the LCM of 361,935,594,374,820 is 1494604980.
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FAQs on LCM of 361, 935, 594, 374, 820
1. What is the LCM of 361, 935, 594, 374, 820?
Answer: LCM of 361, 935, 594, 374, 820 is 1494604980.
2. How to calculate the LCM of 361, 935, 594, 374, 820?
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 361, 935, 594, 374, 820.
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}.