LCM of 567, 600, 420, 890, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 600, 420, 890, 892 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 567, 600, 420, 890, 892. So, keep reading to learn more.
Given numbers are 567,600,420,890,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,600,420,890,892 is 2250649800.
Find LCM of 567,600,420,890,892 with Prime Factorization
| 2 | 567, 600, 420, 890, 892 |
| 2 | 567, 300, 210, 445, 446 |
| 3 | 567, 150, 105, 445, 223 |
| 5 | 189, 50, 35, 445, 223 |
| 7 | 189, 10, 7, 89, 223 |
| 27, 10, 1, 89, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 27 x 10 x 1 x 89 x 223 = 2250649800
Therefore, the lowest common multiple of 567,600,420,890,892 is 2250649800.
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.
567 x 600 x 420 x 890 x 892 = 113432749920000
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
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
890 : 1, 2, 5, 10, 89, 178, 445, 890
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,600,420,890,892, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
600:2x 2x 2x 3x 5x 5
420:2x 2x 3x 5x 7
890:2x 5x 89
892:2x 2x 223
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 2x 2x 3x 3x 5x 5x 7 = 50400
Therefore, the value for common factors is 50400.
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 = 113432749920000/(1x50400)
LCM = 113432749920000/50400
LCM = 2250649800
Thus, we can understand that the LCM of 567,600,420,890,892 is 2250649800.
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FAQs on LCM of 567, 600, 420, 890, 892
1. What is the LCM of 567, 600, 420, 890, 892?
Answer: LCM of 567, 600, 420, 890, 892 is 2250649800.
2. How to calculate the LCM of 567, 600, 420, 890, 892?
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 567, 600, 420, 890, 892.
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}.