LCM of 961, 109, 630, 196, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 109, 630, 196, 420 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 961, 109, 630, 196, 420. So, keep reading to learn more.
Given numbers are 961,109,630,196,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,109,630,196,420 is 923886180.
Find LCM of 961,109,630,196,420 with Prime Factorization
| 2 | 961, 109, 630, 196, 420 |
| 2 | 961, 109, 315, 98, 210 |
| 3 | 961, 109, 315, 49, 105 |
| 5 | 961, 109, 35, 49, 105 |
| 7 | 961, 109, 7, 49, 21 |
| 961, 109, 1, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 961 x 109 x 1 x 7 x 3 = 923886180
Therefore, the lowest common multiple of 961,109,630,196,420 is 923886180.
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.
961 x 109 x 630 x 196 x 420 = 5432450738400
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.
961 : 1, 31, 961
109 : 1, 109
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,109,630,196,420, is 1.
Now, the common factors can be found like this.
961:31x 31
109:109
630:2x 3x 3x 5x 7
196:2x 2x 7x 7
420:2x 2x 3x 5x 7
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 3x 5x 7x 7 = 5880
Therefore, the value for common factors is 5880.
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 = 5432450738400/(1x5880)
LCM = 5432450738400/5880
LCM = 923886180
Thus, we can understand that the LCM of 961,109,630,196,420 is 923886180.
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FAQs on LCM of 961, 109, 630, 196, 420
1. What is the LCM of 961, 109, 630, 196, 420?
Answer: LCM of 961, 109, 630, 196, 420 is 923886180.
2. How to calculate the LCM of 961, 109, 630, 196, 420?
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 961, 109, 630, 196, 420.
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}.