LCM of 675, 274, 840, 389, 443
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 675, 274, 840, 389, 443 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 675, 274, 840, 389, 443. So, keep reading to learn more.
Given numbers are 675,274,840,389,443
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 675,274,840,389,443 is 892412602200.
Find LCM of 675,274,840,389,443 with Prime Factorization
| 2 | 675, 274, 840, 389, 443 |
| 3 | 675, 137, 420, 389, 443 |
| 5 | 225, 137, 140, 389, 443 |
| 45, 137, 28, 389, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 45 x 137 x 28 x 389 x 443 = 892412602200
Therefore, the lowest common multiple of 675,274,840,389,443 is 892412602200.
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.
675 x 274 x 840 x 389 x 443 = 26772378066000
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.
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
274 : 1, 2, 137, 274
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
389 : 1, 389
443 : 1, 443
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,274,840,389,443, is 1.
Now, the common factors can be found like this.
675:3x 3x 3x 5x 5
274:2x 137
840:2x 2x 2x 3x 5x 7
389:389
443:443
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 26772378066000/(1x30)
LCM = 26772378066000/30
LCM = 892412602200
Thus, we can understand that the LCM of 675,274,840,389,443 is 892412602200.
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FAQs on LCM of 675, 274, 840, 389, 443
1. What is the LCM of 675, 274, 840, 389, 443?
Answer: LCM of 675, 274, 840, 389, 443 is 892412602200.
2. How to calculate the LCM of 675, 274, 840, 389, 443?
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 675, 274, 840, 389, 443.
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}.