LCM of 109, 574, 287, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 109, 574, 287, 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 109, 574, 287, 378. So, keep reading to learn more.
Given numbers are 109,574,287,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,574,287,378 is 1689282.
Find LCM of 109,574,287,378 with Prime Factorization
| 2 | 109, 574, 287, 378 |
| 7 | 109, 287, 287, 189 |
| 41 | 109, 41, 41, 27 |
| 109, 1, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 41 x 109 x 1 x 1 x 27 = 1689282
Therefore, the lowest common multiple of 109,574,287,378 is 1689282.
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.
109 x 574 x 287 x 378 = 6787535076
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.
109 : 1, 109
574 : 1, 2, 7, 14, 41, 82, 287, 574
287 : 1, 7, 41, 287
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 109,574,287,378, is 1.
Now, the common factors can be found like this.
109:109
574:2x 7x 41
287:7x 41
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 7x 41 = 4018
Therefore, the value for common factors is 4018.
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 = 6787535076/(1x4018)
LCM = 6787535076/4018
LCM = 1689282
Thus, we can understand that the LCM of 109,574,287,378 is 1689282.
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FAQs on LCM of 109, 574, 287, 378
1. What is the LCM of 109, 574, 287, 378?
Answer: LCM of 109, 574, 287, 378 is 1689282.
2. How to calculate the LCM of 109, 574, 287, 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 109, 574, 287, 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}.