LCM of 427, 800, 838, 714, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 427, 800, 838, 714, 147 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 427, 800, 838, 714, 147. So, keep reading to learn more.
Given numbers are 427,800,838,714,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,800,838,714,147 is 51097552800.
Find LCM of 427,800,838,714,147 with Prime Factorization
| 2 | 427, 800, 838, 714, 147 |
| 3 | 427, 400, 419, 357, 147 |
| 7 | 427, 400, 419, 119, 49 |
| 61, 400, 419, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 61 x 400 x 419 x 17 x 7 = 51097552800
Therefore, the lowest common multiple of 427,800,838,714,147 is 51097552800.
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.
427 x 800 x 838 x 714 x 147 = 30045361046400
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.
427 : 1, 7, 61, 427
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
838 : 1, 2, 419, 838
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,800,838,714,147, is 1.
Now, the common factors can be found like this.
427:7x 61
800:2x 2x 2x 2x 2x 5x 5
838:2x 419
714:2x 3x 7x 17
147:3x 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 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 30045361046400/(1x588)
LCM = 30045361046400/588
LCM = 51097552800
Thus, we can understand that the LCM of 427,800,838,714,147 is 51097552800.
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FAQs on LCM of 427, 800, 838, 714, 147
1. What is the LCM of 427, 800, 838, 714, 147?
Answer: LCM of 427, 800, 838, 714, 147 is 51097552800.
2. How to calculate the LCM of 427, 800, 838, 714, 147?
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 427, 800, 838, 714, 147.
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}.