LCM of 951, 525, 906, 420, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 525, 906, 420, 991 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 951, 525, 906, 420, 991. So, keep reading to learn more.
Given numbers are 951,525,906,420,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,525,906,420,991 is 99616013700.
Find LCM of 951,525,906,420,991 with Prime Factorization
| 2 | 951, 525, 906, 420, 991 |
| 3 | 951, 525, 453, 210, 991 |
| 5 | 317, 175, 151, 70, 991 |
| 7 | 317, 35, 151, 14, 991 |
| 317, 5, 151, 2, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 317 x 5 x 151 x 2 x 991 = 99616013700
Therefore, the lowest common multiple of 951,525,906,420,991 is 99616013700.
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.
951 x 525 x 906 x 420 x 991 = 188274265893000
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.
951 : 1, 3, 317, 951
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
906 : 1, 2, 3, 6, 151, 302, 453, 906
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,525,906,420,991, is 1.
Now, the common factors can be found like this.
951:3x 317
525:3x 5x 5x 7
906:2x 3x 151
420:2x 2x 3x 5x 7
991:991
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7 = 1890
Therefore, the value for common factors is 1890.
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 = 188274265893000/(1x1890)
LCM = 188274265893000/1890
LCM = 99616013700
Thus, we can understand that the LCM of 951,525,906,420,991 is 99616013700.
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FAQs on LCM of 951, 525, 906, 420, 991
1. What is the LCM of 951, 525, 906, 420, 991?
Answer: LCM of 951, 525, 906, 420, 991 is 99616013700.
2. How to calculate the LCM of 951, 525, 906, 420, 991?
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 951, 525, 906, 420, 991.
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}.