LCM of 901, 196, 949, 221, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 196, 949, 221, 378 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, 196, 949, 221, 378. So, keep reading to learn more.
Given numbers are 901,196,949,221,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,196,949,221,378 is 4524919308.
Find LCM of 901,196,949,221,378 with Prime Factorization
| 2 | 901, 196, 949, 221, 378 |
| 7 | 901, 98, 949, 221, 189 |
| 13 | 901, 14, 949, 221, 27 |
| 17 | 901, 14, 73, 17, 27 |
| 53, 14, 73, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 17 x 53 x 14 x 73 x 1 x 27 = 4524919308
Therefore, the lowest common multiple of 901,196,949,221,378 is 4524919308.
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 196 x 949 x 221 x 378 = 14000100338952
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
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
949 : 1, 13, 73, 949
221 : 1, 13, 17, 221
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,196,949,221,378, is 1.
Now, the common factors can be found like this.
901:17x 53
196:2x 2x 7x 7
949:13x 73
221:13x 17
378:2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13x 17 = 3094
Therefore, the value for common factors is 3094.
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 = 14000100338952/(1x3094)
LCM = 14000100338952/3094
LCM = 4524919308
Thus, we can understand that the LCM of 901,196,949,221,378 is 4524919308.
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FAQs on LCM of 901, 196, 949, 221, 378
1. What is the LCM of 901, 196, 949, 221, 378?
Answer: LCM of 901, 196, 949, 221, 378 is 4524919308.
2. How to calculate the LCM of 901, 196, 949, 221, 378?
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, 196, 949, 221, 378.
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}.