LCM of 546, 189, 391, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 189, 391, 943 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, 189, 391, 943. So, keep reading to learn more.
Given numbers are 546,189,391,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,189,391,943 is 78776334.
Find LCM of 546,189,391,943 with Prime Factorization
| 3 | 546, 189, 391, 943 |
| 7 | 182, 63, 391, 943 |
| 23 | 26, 9, 391, 943 |
| 26, 9, 17, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 26 x 9 x 17 x 41 = 78776334
Therefore, the lowest common multiple of 546,189,391,943 is 78776334.
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 189 x 391 x 943 = 38048969322
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
189 : 1, 3, 7, 9, 21, 27, 63, 189
391 : 1, 17, 23, 391
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,189,391,943, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
189:3x 3x 3x 7
391:17x 23
943:23x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 23 = 483
Therefore, the value for common factors is 483.
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 = 38048969322/(1x483)
LCM = 38048969322/483
LCM = 78776334
Thus, we can understand that the LCM of 546,189,391,943 is 78776334.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 189, 391, 943
1. What is the LCM of 546, 189, 391, 943?
Answer: LCM of 546, 189, 391, 943 is 78776334.
2. How to calculate the LCM of 546, 189, 391, 943?
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, 189, 391, 943.
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}.