LCM of 546, 221, 676, 636, 277
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 221, 676, 636, 277 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, 221, 676, 636, 277. So, keep reading to learn more.
Given numbers are 546,221,676,636,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,221,676,636,277 is 3542995092.
Find LCM of 546,221,676,636,277 with Prime Factorization
| 2 | 546, 221, 676, 636, 277 |
| 2 | 273, 221, 338, 318, 277 |
| 3 | 273, 221, 169, 159, 277 |
| 13 | 91, 221, 169, 53, 277 |
| 7, 17, 13, 53, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 7 x 17 x 13 x 53 x 277 = 3542995092
Therefore, the lowest common multiple of 546,221,676,636,277 is 3542995092.
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 221 x 676 x 636 x 277 = 14370388093152
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
221 : 1, 13, 17, 221
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,221,676,636,277, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
221:13x 17
676:2x 2x 13x 13
636:2x 2x 3x 53
277:277
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 13x 13 = 4056
Therefore, the value for common factors is 4056.
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 = 14370388093152/(1x4056)
LCM = 14370388093152/4056
LCM = 3542995092
Thus, we can understand that the LCM of 546,221,676,636,277 is 3542995092.
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FAQs on LCM of 546, 221, 676, 636, 277
1. What is the LCM of 546, 221, 676, 636, 277?
Answer: LCM of 546, 221, 676, 636, 277 is 3542995092.
2. How to calculate the LCM of 546, 221, 676, 636, 277?
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, 221, 676, 636, 277.
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}.