LCM of 611, 863, 949, 651, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 611, 863, 949, 651, 756 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 611, 863, 949, 651, 756. So, keep reading to learn more.
Given numbers are 611,863,949,651,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,863,949,651,756 is 902107628604.
Find LCM of 611,863,949,651,756 with Prime Factorization
| 3 | 611, 863, 949, 651, 756 |
| 7 | 611, 863, 949, 217, 252 |
| 13 | 611, 863, 949, 31, 36 |
| 47, 863, 73, 31, 36 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 47 x 863 x 73 x 31 x 36 = 902107628604
Therefore, the lowest common multiple of 611,863,949,651,756 is 902107628604.
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.
611 x 863 x 949 x 651 x 756 = 246275382608892
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.
611 : 1, 13, 47, 611
863 : 1, 863
949 : 1, 13, 73, 949
651 : 1, 3, 7, 21, 31, 93, 217, 651
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,863,949,651,756, is 1.
Now, the common factors can be found like this.
611:13x 47
863:863
949:13x 73
651:3x 7x 31
756:2x 2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 13 = 273
Therefore, the value for common factors is 273.
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 = 246275382608892/(1x273)
LCM = 246275382608892/273
LCM = 902107628604
Thus, we can understand that the LCM of 611,863,949,651,756 is 902107628604.
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FAQs on LCM of 611, 863, 949, 651, 756
1. What is the LCM of 611, 863, 949, 651, 756?
Answer: LCM of 611, 863, 949, 651, 756 is 902107628604.
2. How to calculate the LCM of 611, 863, 949, 651, 756?
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 611, 863, 949, 651, 756.
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}.