Find the LCM of 543, 299, 572, 988, 276 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 543, 299, 572, 988, 276. So, keep reading to learn more.
Given numbers are 543,299,572,988,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,299,572,988,276 is 135730452.
Find LCM of 543,299,572,988,276 with Prime Factorization
2 | 543, 299, 572, 988, 276 |
2 | 543, 299, 286, 494, 138 |
3 | 543, 299, 143, 247, 69 |
13 | 181, 299, 143, 247, 23 |
23 | 181, 23, 11, 19, 23 |
181, 1, 11, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 23 x 181 x 1 x 11 x 19 x 1 = 135730452
Therefore, the lowest common multiple of 543,299,572,988,276 is 135730452.
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.
543 x 299 x 572 x 988 x 276 = 25324044812352
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.
543 : 1, 3, 181, 543
299 : 1, 13, 23, 299
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,299,572,988,276, is 1.
Now, the common factors can be found like this.
543:3x 181
299:13x 23
572:2x 2x 11x 13
988:2x 2x 13x 19
276:2x 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 2x 3x 13x 13x 23 = 186576
Therefore, the value for common factors is 186576.
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 = 25324044812352/(1x186576)
LCM = 25324044812352/186576
LCM = 135730452
Thus, we can understand that the LCM of 543,299,572,988,276 is 135730452.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 543, 299, 572, 988, 276?
Answer: LCM of 543, 299, 572, 988, 276 is 135730452.
2. How to calculate the LCM of 543, 299, 572, 988, 276?
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 543, 299, 572, 988, 276.
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}.