LCM of 854, 540, 420, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 540, 420, 467 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 854, 540, 420, 467. So, keep reading to learn more.
Given numbers are 854,540,420,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,540,420,467 is 107680860.
Find LCM of 854,540,420,467 with Prime Factorization
| 2 | 854, 540, 420, 467 |
| 2 | 427, 270, 210, 467 |
| 3 | 427, 135, 105, 467 |
| 5 | 427, 45, 35, 467 |
| 7 | 427, 9, 7, 467 |
| 61, 9, 1, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 61 x 9 x 1 x 467 = 107680860
Therefore, the lowest common multiple of 854,540,420,467 is 107680860.
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.
854 x 540 x 420 x 467 = 90451922400
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
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
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,540,420,467, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
540:2x 2x 3x 3x 3x 5
420:2x 2x 3x 5x 7
467:467
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 3x 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 90451922400/(1x840)
LCM = 90451922400/840
LCM = 107680860
Thus, we can understand that the LCM of 854,540,420,467 is 107680860.
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FAQs on LCM of 854, 540, 420, 467
1. What is the LCM of 854, 540, 420, 467?
Answer: LCM of 854, 540, 420, 467 is 107680860.
2. How to calculate the LCM of 854, 540, 420, 467?
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 854, 540, 420, 467.
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}.