LCM of 909, 107, 251, 572, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 107, 251, 572, 876 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 909, 107, 251, 572, 876. So, keep reading to learn more.
Given numbers are 909,107,251,572,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,107,251,572,876 is 1019389770828.
Find LCM of 909,107,251,572,876 with Prime Factorization
| 2 | 909, 107, 251, 572, 876 |
| 2 | 909, 107, 251, 286, 438 |
| 3 | 909, 107, 251, 143, 219 |
| 303, 107, 251, 143, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 303 x 107 x 251 x 143 x 73 = 1019389770828
Therefore, the lowest common multiple of 909,107,251,572,876 is 1019389770828.
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.
909 x 107 x 251 x 572 x 876 = 12232677249936
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.
909 : 1, 3, 9, 101, 303, 909
107 : 1, 107
251 : 1, 251
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,107,251,572,876, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
107:107
251:251
572:2x 2x 11x 13
876:2x 2x 3x 73
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 3 = 12
Therefore, the value for common factors is 12.
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 = 12232677249936/(1x12)
LCM = 12232677249936/12
LCM = 1019389770828
Thus, we can understand that the LCM of 909,107,251,572,876 is 1019389770828.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 107, 251, 572, 876
1. What is the LCM of 909, 107, 251, 572, 876?
Answer: LCM of 909, 107, 251, 572, 876 is 1019389770828.
2. How to calculate the LCM of 909, 107, 251, 572, 876?
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 909, 107, 251, 572, 876.
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}.