LCM of 695, 429, 299, 575
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 429, 299, 575 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 695, 429, 299, 575. So, keep reading to learn more.
Given numbers are 695,429,299,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,429,299,575 is 34287825.
Find LCM of 695,429,299,575 with Prime Factorization
| 5 | 695, 429, 299, 575 |
| 13 | 139, 429, 299, 115 |
| 23 | 139, 33, 23, 115 |
| 139, 33, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 23 x 139 x 33 x 1 x 5 = 34287825
Therefore, the lowest common multiple of 695,429,299,575 is 34287825.
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.
695 x 429 x 299 x 575 = 51260298375
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.
695 : 1, 5, 139, 695
429 : 1, 3, 11, 13, 33, 39, 143, 429
299 : 1, 13, 23, 299
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,429,299,575, is 1.
Now, the common factors can be found like this.
695:5x 139
429:3x 11x 13
299:13x 23
575:5x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13x 23 = 1495
Therefore, the value for common factors is 1495.
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 = 51260298375/(1x1495)
LCM = 51260298375/1495
LCM = 34287825
Thus, we can understand that the LCM of 695,429,299,575 is 34287825.
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FAQs on LCM of 695, 429, 299, 575
1. What is the LCM of 695, 429, 299, 575?
Answer: LCM of 695, 429, 299, 575 is 34287825.
2. How to calculate the LCM of 695, 429, 299, 575?
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 695, 429, 299, 575.
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}.