LCM of 503, 676, 130, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 503, 676, 130, 546 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 503, 676, 130, 546. So, keep reading to learn more.
Given numbers are 503,676,130,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 503,676,130,546 is 35702940.
Find LCM of 503,676,130,546 with Prime Factorization
| 2 | 503, 676, 130, 546 |
| 13 | 503, 338, 65, 273 |
| 503, 26, 5, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 503 x 26 x 5 x 21 = 35702940
Therefore, the lowest common multiple of 503,676,130,546 is 35702940.
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.
503 x 676 x 130 x 546 = 24135187440
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.
503 : 1, 503
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
130 : 1, 2, 5, 10, 13, 26, 65, 130
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,676,130,546, is 1.
Now, the common factors can be found like this.
503:503
676:2x 2x 13x 13
130:2x 5x 13
546:2x 3x 7x 13
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 24135187440/(1x676)
LCM = 24135187440/676
LCM = 35702940
Thus, we can understand that the LCM of 503,676,130,546 is 35702940.
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FAQs on LCM of 503, 676, 130, 546
1. What is the LCM of 503, 676, 130, 546?
Answer: LCM of 503, 676, 130, 546 is 35702940.
2. How to calculate the LCM of 503, 676, 130, 546?
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 503, 676, 130, 546.
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}.