LCM of 906, 759, 960, 274, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 759, 960, 274, 781 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 906, 759, 960, 274, 781. So, keep reading to learn more.
Given numbers are 906,759,960,274,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,759,960,274,781 is 356736557760.
Find LCM of 906,759,960,274,781 with Prime Factorization
| 2 | 906, 759, 960, 274, 781 |
| 3 | 453, 759, 480, 137, 781 |
| 11 | 151, 253, 160, 137, 781 |
| 151, 23, 160, 137, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 151 x 23 x 160 x 137 x 71 = 356736557760
Therefore, the lowest common multiple of 906,759,960,274,781 is 356736557760.
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.
906 x 759 x 960 x 274 x 781 = 141267676872960
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
759 : 1, 3, 11, 23, 33, 69, 253, 759
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
274 : 1, 2, 137, 274
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,759,960,274,781, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
759:3x 11x 23
960:2x 2x 2x 2x 2x 2x 3x 5
274:2x 137
781:11x 71
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 141267676872960/(1x396)
LCM = 141267676872960/396
LCM = 356736557760
Thus, we can understand that the LCM of 906,759,960,274,781 is 356736557760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 906, 759, 960, 274, 781
1. What is the LCM of 906, 759, 960, 274, 781?
Answer: LCM of 906, 759, 960, 274, 781 is 356736557760.
2. How to calculate the LCM of 906, 759, 960, 274, 781?
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 906, 759, 960, 274, 781.
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}.