LCM of 955, 649, 270, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 955, 649, 270, 906 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 955, 649, 270, 906. So, keep reading to learn more.
Given numbers are 955,649,270,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,649,270,906 is 5053808430.
Find LCM of 955,649,270,906 with Prime Factorization
| 2 | 955, 649, 270, 906 |
| 3 | 955, 649, 135, 453 |
| 5 | 955, 649, 45, 151 |
| 191, 649, 9, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 191 x 649 x 9 x 151 = 5053808430
Therefore, the lowest common multiple of 955,649,270,906 is 5053808430.
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.
955 x 649 x 270 x 906 = 151614252900
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.
955 : 1, 5, 191, 955
649 : 1, 11, 59, 649
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,649,270,906, is 1.
Now, the common factors can be found like this.
955:5x 191
649:11x 59
270:2x 3x 3x 3x 5
906:2x 3x 151
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 5 = 30
Therefore, the value for common factors is 30.
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 = 151614252900/(1x30)
LCM = 151614252900/30
LCM = 5053808430
Thus, we can understand that the LCM of 955,649,270,906 is 5053808430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 955, 649, 270, 906
1. What is the LCM of 955, 649, 270, 906?
Answer: LCM of 955, 649, 270, 906 is 5053808430.
2. How to calculate the LCM of 955, 649, 270, 906?
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 955, 649, 270, 906.
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}.