LCM of 951, 615, 540, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 615, 540, 420 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 951, 615, 540, 420. So, keep reading to learn more.
Given numbers are 951,615,540,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,615,540,420 is 49128660.
Find LCM of 951,615,540,420 with Prime Factorization
| 2 | 951, 615, 540, 420 |
| 2 | 951, 615, 270, 210 |
| 3 | 951, 615, 135, 105 |
| 5 | 317, 205, 45, 35 |
| 317, 41, 9, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 317 x 41 x 9 x 7 = 49128660
Therefore, the lowest common multiple of 951,615,540,420 is 49128660.
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.
951 x 615 x 540 x 420 = 132647382000
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.
951 : 1, 3, 317, 951
615 : 1, 3, 5, 15, 41, 123, 205, 615
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
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,615,540,420, is 3.
Now, the common factors can be found like this.
951:3x 317
615:3x 5x 41
540:2x 2x 3x 3x 3x 5
420:2x 2x 3x 5x 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 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 132647382000/(3x900)
LCM = 132647382000/2700
LCM = 49128660
Thus, we can understand that the LCM of 951,615,540,420 is 49128660.
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FAQs on LCM of 951, 615, 540, 420
1. What is the LCM of 951, 615, 540, 420?
Answer: LCM of 951, 615, 540, 420 is 49128660.
2. How to calculate the LCM of 951, 615, 540, 420?
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 951, 615, 540, 420.
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}.