LCM of 695, 978, 419, 429, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 978, 419, 429, 268 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 695, 978, 419, 429, 268. So, keep reading to learn more.
Given numbers are 695,978,419,429,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,978,419,429,268 is 5457308665380.
Find LCM of 695,978,419,429,268 with Prime Factorization
| 2 | 695, 978, 419, 429, 268 |
| 3 | 695, 489, 419, 429, 134 |
| 695, 163, 419, 143, 134 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 695 x 163 x 419 x 143 x 134 = 5457308665380
Therefore, the lowest common multiple of 695,978,419,429,268 is 5457308665380.
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.
695 x 978 x 419 x 429 x 268 = 32743851992280
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.
695 : 1, 5, 139, 695
978 : 1, 2, 3, 6, 163, 326, 489, 978
419 : 1, 419
429 : 1, 3, 11, 13, 33, 39, 143, 429
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,978,419,429,268, is 1.
Now, the common factors can be found like this.
695:5x 139
978:2x 3x 163
419:419
429:3x 11x 13
268:2x 2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 32743851992280/(1x6)
LCM = 32743851992280/6
LCM = 5457308665380
Thus, we can understand that the LCM of 695,978,419,429,268 is 5457308665380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 695, 978, 419, 429, 268
1. What is the LCM of 695, 978, 419, 429, 268?
Answer: LCM of 695, 978, 419, 429, 268 is 5457308665380.
2. How to calculate the LCM of 695, 978, 419, 429, 268?
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 695, 978, 419, 429, 268.
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}.