LCM of 694, 411, 863, 420, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 411, 863, 420, 980 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 694, 411, 863, 420, 980. So, keep reading to learn more.
Given numbers are 694,411,863,420,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,411,863,420,980 is 120616901580.
Find LCM of 694,411,863,420,980 with Prime Factorization
| 2 | 694, 411, 863, 420, 980 |
| 2 | 347, 411, 863, 210, 490 |
| 3 | 347, 411, 863, 105, 245 |
| 5 | 347, 137, 863, 35, 245 |
| 7 | 347, 137, 863, 7, 49 |
| 347, 137, 863, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 347 x 137 x 863 x 1 x 7 = 120616901580
Therefore, the lowest common multiple of 694,411,863,420,980 is 120616901580.
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.
694 x 411 x 863 x 420 x 980 = 101318197327200
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.
694 : 1, 2, 347, 694
411 : 1, 3, 137, 411
863 : 1, 863
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,411,863,420,980, is 1.
Now, the common factors can be found like this.
694:2x 347
411:3x 137
863:863
420:2x 2x 3x 5x 7
980:2x 2x 5x 7x 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 7 = 840
Therefore, the value for common factors is 840.
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 = 101318197327200/(1x840)
LCM = 101318197327200/840
LCM = 120616901580
Thus, we can understand that the LCM of 694,411,863,420,980 is 120616901580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 694, 411, 863, 420, 980
1. What is the LCM of 694, 411, 863, 420, 980?
Answer: LCM of 694, 411, 863, 420, 980 is 120616901580.
2. How to calculate the LCM of 694, 411, 863, 420, 980?
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 694, 411, 863, 420, 980.
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}.