LCM of 135, 698, 904, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 135, 698, 904, 753 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 135, 698, 904, 753. So, keep reading to learn more.
Given numbers are 135,698,904,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,698,904,753 is 10690581960.
Find LCM of 135,698,904,753 with Prime Factorization
| 2 | 135, 698, 904, 753 |
| 3 | 135, 349, 452, 753 |
| 45, 349, 452, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 45 x 349 x 452 x 251 = 10690581960
Therefore, the lowest common multiple of 135,698,904,753 is 10690581960.
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.
135 x 698 x 904 x 753 = 64143491760
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.
135 : 1, 3, 5, 9, 15, 27, 45, 135
698 : 1, 2, 349, 698
904 : 1, 2, 4, 8, 113, 226, 452, 904
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,698,904,753, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
698:2x 349
904:2x 2x 2x 113
753:3x 251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 64143491760/(1x6)
LCM = 64143491760/6
LCM = 10690581960
Thus, we can understand that the LCM of 135,698,904,753 is 10690581960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 135, 698, 904, 753
1. What is the LCM of 135, 698, 904, 753?
Answer: LCM of 135, 698, 904, 753 is 10690581960.
2. How to calculate the LCM of 135, 698, 904, 753?
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 135, 698, 904, 753.
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}.