LCM of 672, 175, 413, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 175, 413, 565 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 672, 175, 413, 565. So, keep reading to learn more.
Given numbers are 672,175,413,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,175,413,565 is 112005600.
Find LCM of 672,175,413,565 with Prime Factorization
| 5 | 672, 175, 413, 565 |
| 7 | 672, 35, 413, 113 |
| 96, 5, 59, 113 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 96 x 5 x 59 x 113 = 112005600
Therefore, the lowest common multiple of 672,175,413,565 is 112005600.
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.
672 x 175 x 413 x 565 = 27441372000
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.
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
175 : 1, 5, 7, 25, 35, 175
413 : 1, 7, 59, 413
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,175,413,565, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
175:5x 5x 7
413:7x 59
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7 = 245
Therefore, the value for common factors is 245.
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 = 27441372000/(1x245)
LCM = 27441372000/245
LCM = 112005600
Thus, we can understand that the LCM of 672,175,413,565 is 112005600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 672, 175, 413, 565
1. What is the LCM of 672, 175, 413, 565?
Answer: LCM of 672, 175, 413, 565 is 112005600.
2. How to calculate the LCM of 672, 175, 413, 565?
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 672, 175, 413, 565.
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}.