LCM of 906, 649, 902, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 649, 902, 274 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, 649, 902, 274. So, keep reading to learn more.
Given numbers are 906,649,902,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,649,902,274 is 3302762298.
Find LCM of 906,649,902,274 with Prime Factorization
| 2 | 906, 649, 902, 274 |
| 11 | 453, 649, 451, 137 |
| 453, 59, 41, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 453 x 59 x 41 x 137 = 3302762298
Therefore, the lowest common multiple of 906,649,902,274 is 3302762298.
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 649 x 902 x 274 = 145321541112
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
649 : 1, 11, 59, 649
902 : 1, 2, 11, 22, 41, 82, 451, 902
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,649,902,274, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
649:11x 59
902:2x 11x 41
274:2x 137
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 11 = 44
Therefore, the value for common factors is 44.
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 = 145321541112/(1x44)
LCM = 145321541112/44
LCM = 3302762298
Thus, we can understand that the LCM of 906,649,902,274 is 3302762298.
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, 649, 902, 274
1. What is the LCM of 906, 649, 902, 274?
Answer: LCM of 906, 649, 902, 274 is 3302762298.
2. How to calculate the LCM of 906, 649, 902, 274?
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, 649, 902, 274.
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}.