Find the LCM of 542, 102, 476, 357, 677 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 542, 102, 476, 357, 677. So, keep reading to learn more.
Given numbers are 542,102,476,357,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,102,476,357,677 is 261990876.
Find LCM of 542,102,476,357,677 with Prime Factorization
2 | 542, 102, 476, 357, 677 |
3 | 271, 51, 238, 357, 677 |
7 | 271, 17, 238, 119, 677 |
17 | 271, 17, 34, 17, 677 |
271, 1, 2, 1, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 271 x 1 x 2 x 1 x 677 = 261990876
Therefore, the lowest common multiple of 542,102,476,357,677 is 261990876.
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.
542 x 102 x 476 x 357 x 677 = 6360090505776
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.
542 : 1, 2, 271, 542
102 : 1, 2, 3, 6, 17, 34, 51, 102
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
357 : 1, 3, 7, 17, 21, 51, 119, 357
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,102,476,357,677, is 1.
Now, the common factors can be found like this.
542:2x 271
102:2x 3x 17
476:2x 2x 7x 17
357:3x 7x 17
677:677
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 3x 7x 17x 17 = 24276
Therefore, the value for common factors is 24276.
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 = 6360090505776/(1x24276)
LCM = 6360090505776/24276
LCM = 261990876
Thus, we can understand that the LCM of 542,102,476,357,677 is 261990876.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 542, 102, 476, 357, 677?
Answer: LCM of 542, 102, 476, 357, 677 is 261990876.
2. How to calculate the LCM of 542, 102, 476, 357, 677?
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 542, 102, 476, 357, 677.
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}.