LCM of 901, 676, 618, 195, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 676, 618, 195, 833 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 901, 676, 618, 195, 833. So, keep reading to learn more.
Given numbers are 901,676,618,195,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,676,618,195,833 is 46110098580.
Find LCM of 901,676,618,195,833 with Prime Factorization
| 2 | 901, 676, 618, 195, 833 |
| 3 | 901, 338, 309, 195, 833 |
| 13 | 901, 338, 103, 65, 833 |
| 17 | 901, 26, 103, 5, 833 |
| 53, 26, 103, 5, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 53 x 26 x 103 x 5 x 49 = 46110098580
Therefore, the lowest common multiple of 901,676,618,195,833 is 46110098580.
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.
901 x 676 x 618 x 195 x 833 = 61141990717080
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.
901 : 1, 17, 53, 901
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
618 : 1, 2, 3, 6, 103, 206, 309, 618
195 : 1, 3, 5, 13, 15, 39, 65, 195
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,676,618,195,833, is 1.
Now, the common factors can be found like this.
901:17x 53
676:2x 2x 13x 13
618:2x 3x 103
195:3x 5x 13
833:7x 7x 17
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 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 61141990717080/(1x1326)
LCM = 61141990717080/1326
LCM = 46110098580
Thus, we can understand that the LCM of 901,676,618,195,833 is 46110098580.
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FAQs on LCM of 901, 676, 618, 195, 833
1. What is the LCM of 901, 676, 618, 195, 833?
Answer: LCM of 901, 676, 618, 195, 833 is 46110098580.
2. How to calculate the LCM of 901, 676, 618, 195, 833?
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 901, 676, 618, 195, 833.
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}.