LCM of 241, 840, 756, 224, 801
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 241, 840, 756, 224, 801 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 241, 840, 756, 224, 801. So, keep reading to learn more.
Given numbers are 241,840,756,224,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,840,756,224,801 is 648617760.
Find LCM of 241,840,756,224,801 with Prime Factorization
| 2 | 241, 840, 756, 224, 801 |
| 2 | 241, 420, 378, 112, 801 |
| 2 | 241, 210, 189, 56, 801 |
| 3 | 241, 105, 189, 28, 801 |
| 3 | 241, 35, 63, 28, 267 |
| 7 | 241, 35, 21, 28, 89 |
| 241, 5, 3, 4, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 241 x 5 x 3 x 4 x 89 = 648617760
Therefore, the lowest common multiple of 241,840,756,224,801 is 648617760.
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.
241 x 840 x 756 x 224 x 801 = 27459881487360
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.
241 : 1, 241
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,840,756,224,801, is 1.
Now, the common factors can be found like this.
241:241
840:2x 2x 2x 3x 5x 7
756:2x 2x 3x 3x 3x 7
224:2x 2x 2x 2x 2x 7
801:3x 3x 89
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 3x 7x 7 = 42336
Therefore, the value for common factors is 42336.
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 = 27459881487360/(1x42336)
LCM = 27459881487360/42336
LCM = 648617760
Thus, we can understand that the LCM of 241,840,756,224,801 is 648617760.
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FAQs on LCM of 241, 840, 756, 224, 801
1. What is the LCM of 241, 840, 756, 224, 801?
Answer: LCM of 241, 840, 756, 224, 801 is 648617760.
2. How to calculate the LCM of 241, 840, 756, 224, 801?
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 241, 840, 756, 224, 801.
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}.