LCM of 774, 298, 456, 195, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 298, 456, 195, 745 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 774, 298, 456, 195, 745. So, keep reading to learn more.
Given numbers are 774,298,456,195,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,298,456,195,745 is 569710440.
Find LCM of 774,298,456,195,745 with Prime Factorization
| 2 | 774, 298, 456, 195, 745 |
| 3 | 387, 149, 228, 195, 745 |
| 5 | 129, 149, 76, 65, 745 |
| 149 | 129, 149, 76, 13, 149 |
| 129, 1, 76, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 149 x 129 x 1 x 76 x 13 x 1 = 569710440
Therefore, the lowest common multiple of 774,298,456,195,745 is 569710440.
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.
774 x 298 x 456 x 195 x 745 = 15279634000800
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
298 : 1, 2, 149, 298
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
195 : 1, 3, 5, 13, 15, 39, 65, 195
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,298,456,195,745, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
298:2x 149
456:2x 2x 2x 3x 19
195:3x 5x 13
745:5x 149
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 3x 3x 5x 149 = 26820
Therefore, the value for common factors is 26820.
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 = 15279634000800/(1x26820)
LCM = 15279634000800/26820
LCM = 569710440
Thus, we can understand that the LCM of 774,298,456,195,745 is 569710440.
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FAQs on LCM of 774, 298, 456, 195, 745
1. What is the LCM of 774, 298, 456, 195, 745?
Answer: LCM of 774, 298, 456, 195, 745 is 569710440.
2. How to calculate the LCM of 774, 298, 456, 195, 745?
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 774, 298, 456, 195, 745.
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}.