Find the LCM of 578, 521, 527, 470 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 578, 521, 527, 470. So, keep reading to learn more.
Given numbers are 578,521,527,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,521,527,470 is 2193790330.
Find LCM of 578,521,527,470 with Prime Factorization
2 | 578, 521, 527, 470 |
17 | 289, 521, 527, 235 |
17, 521, 31, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 17 x 521 x 31 x 235 = 2193790330
Therefore, the lowest common multiple of 578,521,527,470 is 2193790330.
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.
578 x 521 x 527 x 470 = 74588871220
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.
578 : 1, 2, 17, 34, 289, 578
521 : 1, 521
527 : 1, 17, 31, 527
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,521,527,470, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
521:521
527:17x 31
470:2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 74588871220/(1x34)
LCM = 74588871220/34
LCM = 2193790330
Thus, we can understand that the LCM of 578,521,527,470 is 2193790330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 521, 527, 470?
Answer: LCM of 578, 521, 527, 470 is 2193790330.
2. How to calculate the LCM of 578, 521, 527, 470?
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 578, 521, 527, 470.
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}.