LCM of 146, 644, 969, 716, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 644, 969, 716, 574 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 146, 644, 969, 716, 574. So, keep reading to learn more.
Given numbers are 146,644,969,716,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,644,969,716,574 is 334325414892.
Find LCM of 146,644,969,716,574 with Prime Factorization
| 2 | 146, 644, 969, 716, 574 |
| 2 | 73, 322, 969, 358, 287 |
| 7 | 73, 161, 969, 179, 287 |
| 73, 23, 969, 179, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 73 x 23 x 969 x 179 x 41 = 334325414892
Therefore, the lowest common multiple of 146,644,969,716,574 is 334325414892.
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.
146 x 644 x 969 x 716 x 574 = 37444446467904
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.
146 : 1, 2, 73, 146
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
969 : 1, 3, 17, 19, 51, 57, 323, 969
716 : 1, 2, 4, 179, 358, 716
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,644,969,716,574, is 1.
Now, the common factors can be found like this.
146:2x 73
644:2x 2x 7x 23
969:3x 17x 19
716:2x 2x 179
574:2x 7x 41
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 2x 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 37444446467904/(1x112)
LCM = 37444446467904/112
LCM = 334325414892
Thus, we can understand that the LCM of 146,644,969,716,574 is 334325414892.
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FAQs on LCM of 146, 644, 969, 716, 574
1. What is the LCM of 146, 644, 969, 716, 574?
Answer: LCM of 146, 644, 969, 716, 574 is 334325414892.
2. How to calculate the LCM of 146, 644, 969, 716, 574?
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 146, 644, 969, 716, 574.
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}.