LCM of 970, 906, 865, 262, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 906, 865, 262, 786 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 970, 906, 865, 262, 786. So, keep reading to learn more.
Given numbers are 970,906,865,262,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,906,865,262,786 is 9958348830.
Find LCM of 970,906,865,262,786 with Prime Factorization
| 2 | 970, 906, 865, 262, 786 |
| 3 | 485, 453, 865, 131, 393 |
| 5 | 485, 151, 865, 131, 131 |
| 131 | 97, 151, 173, 131, 131 |
| 97, 151, 173, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 131 x 97 x 151 x 173 x 1 x 1 = 9958348830
Therefore, the lowest common multiple of 970,906,865,262,786 is 9958348830.
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.
970 x 906 x 865 x 262 x 786 = 156545243607600
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
906 : 1, 2, 3, 6, 151, 302, 453, 906
865 : 1, 5, 173, 865
262 : 1, 2, 131, 262
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,906,865,262,786, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
906:2x 3x 151
865:5x 173
262:2x 131
786:2x 3x 131
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 3x 5x 131 = 15720
Therefore, the value for common factors is 15720.
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 = 156545243607600/(1x15720)
LCM = 156545243607600/15720
LCM = 9958348830
Thus, we can understand that the LCM of 970,906,865,262,786 is 9958348830.
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FAQs on LCM of 970, 906, 865, 262, 786
1. What is the LCM of 970, 906, 865, 262, 786?
Answer: LCM of 970, 906, 865, 262, 786 is 9958348830.
2. How to calculate the LCM of 970, 906, 865, 262, 786?
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 970, 906, 865, 262, 786.
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}.