LCM of 462, 789, 420, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 789, 420, 552 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 462, 789, 420, 552. So, keep reading to learn more.
Given numbers are 462,789,420,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,789,420,552 is 55892760.
Find LCM of 462,789,420,552 with Prime Factorization
| 2 | 462, 789, 420, 552 |
| 2 | 231, 789, 210, 276 |
| 3 | 231, 789, 105, 138 |
| 7 | 77, 263, 35, 46 |
| 11, 263, 5, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 263 x 5 x 46 = 55892760
Therefore, the lowest common multiple of 462,789,420,552 is 55892760.
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.
462 x 789 x 420 x 552 = 84509853120
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
789 : 1, 3, 263, 789
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
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,789,420,552, is 3.
Now, the common factors can be found like this.
462:2x 3x 7x 11
789:3x 263
420:2x 2x 3x 5x 7
552:2x 2x 2x 3x 23
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 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 84509853120/(3x504)
LCM = 84509853120/1512
LCM = 55892760
Thus, we can understand that the LCM of 462,789,420,552 is 55892760.
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FAQs on LCM of 462, 789, 420, 552
1. What is the LCM of 462, 789, 420, 552?
Answer: LCM of 462, 789, 420, 552 is 55892760.
2. How to calculate the LCM of 462, 789, 420, 552?
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 462, 789, 420, 552.
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}.