LCM of 964, 345, 686, 595, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 345, 686, 595, 294 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 964, 345, 686, 595, 294. So, keep reading to learn more.
Given numbers are 964,345,686,595,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,345,686,595,294 is 1939273980.
Find LCM of 964,345,686,595,294 with Prime Factorization
| 2 | 964, 345, 686, 595, 294 |
| 3 | 482, 345, 343, 595, 147 |
| 5 | 482, 115, 343, 595, 49 |
| 7 | 482, 23, 343, 119, 49 |
| 7 | 482, 23, 7, 17, 49 |
| 482, 23, 1, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 482 x 23 x 1 x 17 x 7 = 1939273980
Therefore, the lowest common multiple of 964,345,686,595,294 is 1939273980.
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.
964 x 345 x 686 x 595 x 294 = 39910258508400
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.
964 : 1, 2, 4, 241, 482, 964
345 : 1, 3, 5, 15, 23, 69, 115, 345
686 : 1, 2, 7, 14, 49, 98, 343, 686
595 : 1, 5, 7, 17, 35, 85, 119, 595
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,345,686,595,294, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
345:3x 5x 23
686:2x 7x 7x 7
595:5x 7x 17
294:2x 3x 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 3x 5x 7x 7x 7 = 20580
Therefore, the value for common factors is 20580.
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 = 39910258508400/(1x20580)
LCM = 39910258508400/20580
LCM = 1939273980
Thus, we can understand that the LCM of 964,345,686,595,294 is 1939273980.
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FAQs on LCM of 964, 345, 686, 595, 294
1. What is the LCM of 964, 345, 686, 595, 294?
Answer: LCM of 964, 345, 686, 595, 294 is 1939273980.
2. How to calculate the LCM of 964, 345, 686, 595, 294?
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 964, 345, 686, 595, 294.
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}.