LCM of 378, 561, 442, 697, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 561, 442, 697, 965 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 378, 561, 442, 697, 965. So, keep reading to learn more.
Given numbers are 378,561,442,697,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,561,442,697,965 is 36356990670.
Find LCM of 378,561,442,697,965 with Prime Factorization
| 2 | 378, 561, 442, 697, 965 |
| 3 | 189, 561, 221, 697, 965 |
| 17 | 63, 187, 221, 697, 965 |
| 63, 11, 13, 41, 965 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 63 x 11 x 13 x 41 x 965 = 36356990670
Therefore, the lowest common multiple of 378,561,442,697,965 is 36356990670.
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.
378 x 561 x 442 x 697 x 965 = 63043021821780
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
561 : 1, 3, 11, 17, 33, 51, 187, 561
442 : 1, 2, 13, 17, 26, 34, 221, 442
697 : 1, 17, 41, 697
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,561,442,697,965, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
561:3x 11x 17
442:2x 13x 17
697:17x 41
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 17 = 1734
Therefore, the value for common factors is 1734.
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 = 63043021821780/(1x1734)
LCM = 63043021821780/1734
LCM = 36356990670
Thus, we can understand that the LCM of 378,561,442,697,965 is 36356990670.
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FAQs on LCM of 378, 561, 442, 697, 965
1. What is the LCM of 378, 561, 442, 697, 965?
Answer: LCM of 378, 561, 442, 697, 965 is 36356990670.
2. How to calculate the LCM of 378, 561, 442, 697, 965?
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 378, 561, 442, 697, 965.
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}.