LCM of 451, 575, 836, 361, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 575, 836, 361, 972 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 451, 575, 836, 361, 972. So, keep reading to learn more.
Given numbers are 451,575,836,361,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,575,836,361,972 is 90995067900.
Find LCM of 451,575,836,361,972 with Prime Factorization
| 2 | 451, 575, 836, 361, 972 |
| 2 | 451, 575, 418, 361, 486 |
| 11 | 451, 575, 209, 361, 243 |
| 19 | 41, 575, 19, 361, 243 |
| 41, 575, 1, 19, 243 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 41 x 575 x 1 x 19 x 243 = 90995067900
Therefore, the lowest common multiple of 451,575,836,361,972 is 90995067900.
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.
451 x 575 x 836 x 361 x 972 = 76071876764400
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.
451 : 1, 11, 41, 451
575 : 1, 5, 23, 25, 115, 575
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
361 : 1, 19, 361
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,575,836,361,972, is 1.
Now, the common factors can be found like this.
451:11x 41
575:5x 5x 23
836:2x 2x 11x 19
361:19x 19
972:2x 2x 3x 3x 3x 3x 3
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 76071876764400/(1x836)
LCM = 76071876764400/836
LCM = 90995067900
Thus, we can understand that the LCM of 451,575,836,361,972 is 90995067900.
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FAQs on LCM of 451, 575, 836, 361, 972
1. What is the LCM of 451, 575, 836, 361, 972?
Answer: LCM of 451, 575, 836, 361, 972 is 90995067900.
2. How to calculate the LCM of 451, 575, 836, 361, 972?
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 451, 575, 836, 361, 972.
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}.