Find the LCM of 420, 558, 662, 527 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 420, 558, 662, 527. So, keep reading to learn more.
Given numbers are 420,558,662,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,558,662,527 is 219790620.
Find LCM of 420,558,662,527 with Prime Factorization
2 | 420, 558, 662, 527 |
3 | 210, 279, 331, 527 |
31 | 70, 93, 331, 527 |
70, 3, 331, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 70 x 3 x 331 x 17 = 219790620
Therefore, the lowest common multiple of 420,558,662,527 is 219790620.
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.
420 x 558 x 662 x 527 = 81762110640
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
662 : 1, 2, 331, 662
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,558,662,527, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
558:2x 3x 3x 31
662:2x 331
527:17x 31
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 31 = 372
Therefore, the value for common factors is 372.
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 = 81762110640/(1x372)
LCM = 81762110640/372
LCM = 219790620
Thus, we can understand that the LCM of 420,558,662,527 is 219790620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 420, 558, 662, 527?
Answer: LCM of 420, 558, 662, 527 is 219790620.
2. How to calculate the LCM of 420, 558, 662, 527?
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 420, 558, 662, 527.
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}.