Find the LCM of 421, 540, 252, 860, 974 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 421, 540, 252, 860, 974. So, keep reading to learn more.
Given numbers are 421,540,252,860,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,540,252,860,974 is 33325088580.
Find LCM of 421,540,252,860,974 with Prime Factorization
2 | 421, 540, 252, 860, 974 |
2 | 421, 270, 126, 430, 487 |
3 | 421, 135, 63, 215, 487 |
3 | 421, 45, 21, 215, 487 |
5 | 421, 15, 7, 215, 487 |
421, 3, 7, 43, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 421 x 3 x 7 x 43 x 487 = 33325088580
Therefore, the lowest common multiple of 421,540,252,860,974 is 33325088580.
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.
421 x 540 x 252 x 860 x 974 = 47988127555200
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.
421 : 1, 421
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,540,252,860,974, is 1.
Now, the common factors can be found like this.
421:421
540:2x 2x 3x 3x 3x 5
252:2x 2x 3x 3x 7
860:2x 2x 5x 43
974:2x 487
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 2x 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 47988127555200/(1x1440)
LCM = 47988127555200/1440
LCM = 33325088580
Thus, we can understand that the LCM of 421,540,252,860,974 is 33325088580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 421, 540, 252, 860, 974?
Answer: LCM of 421, 540, 252, 860, 974 is 33325088580.
2. How to calculate the LCM of 421, 540, 252, 860, 974?
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 421, 540, 252, 860, 974.
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}.