LCM of 546, 945, 420, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 945, 420, 969 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 546, 945, 420, 969. So, keep reading to learn more.
Given numbers are 546,945,420,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,945,420,969 is 15872220.
Find LCM of 546,945,420,969 with Prime Factorization
| 2 | 546, 945, 420, 969 |
| 3 | 273, 945, 210, 969 |
| 5 | 91, 315, 70, 323 |
| 7 | 91, 63, 14, 323 |
| 13, 9, 2, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 9 x 2 x 323 = 15872220
Therefore, the lowest common multiple of 546,945,420,969 is 15872220.
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.
546 x 945 x 420 x 969 = 209989470600
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
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
969 : 1, 3, 17, 19, 51, 57, 323, 969
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,945,420,969, is 3.
Now, the common factors can be found like this.
546:2x 3x 7x 13
945:3x 3x 3x 5x 7
420:2x 2x 3x 5x 7
969:3x 17x 19
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 3x 5x 7x 7 = 4410
Therefore, the value for common factors is 4410.
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 = 209989470600/(3x4410)
LCM = 209989470600/13230
LCM = 15872220
Thus, we can understand that the LCM of 546,945,420,969 is 15872220.
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FAQs on LCM of 546, 945, 420, 969
1. What is the LCM of 546, 945, 420, 969?
Answer: LCM of 546, 945, 420, 969 is 15872220.
2. How to calculate the LCM of 546, 945, 420, 969?
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 546, 945, 420, 969.
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}.