LCM of 429, 104, 561, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 104, 561, 749 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 429, 104, 561, 749. So, keep reading to learn more.
Given numbers are 429,104,561,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,104,561,749 is 43699656.
Find LCM of 429,104,561,749 with Prime Factorization
| 3 | 429, 104, 561, 749 |
| 11 | 143, 104, 187, 749 |
| 13 | 13, 104, 17, 749 |
| 1, 8, 17, 749 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 1 x 8 x 17 x 749 = 43699656
Therefore, the lowest common multiple of 429,104,561,749 is 43699656.
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.
429 x 104 x 561 x 749 = 18747152424
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
104 : 1, 2, 4, 8, 13, 26, 52, 104
561 : 1, 3, 11, 17, 33, 51, 187, 561
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,104,561,749, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
104:2x 2x 2x 13
561:3x 11x 17
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 13 = 429
Therefore, the value for common factors is 429.
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 = 18747152424/(1x429)
LCM = 18747152424/429
LCM = 43699656
Thus, we can understand that the LCM of 429,104,561,749 is 43699656.
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FAQs on LCM of 429, 104, 561, 749
1. What is the LCM of 429, 104, 561, 749?
Answer: LCM of 429, 104, 561, 749 is 43699656.
2. How to calculate the LCM of 429, 104, 561, 749?
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 429, 104, 561, 749.
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}.