LCM of 655, 612, 135, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 612, 135, 759 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 655, 612, 135, 759. So, keep reading to learn more.
Given numbers are 655,612,135,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,612,135,759 is 304252740.
Find LCM of 655,612,135,759 with Prime Factorization
| 3 | 655, 612, 135, 759 |
| 3 | 655, 204, 45, 253 |
| 5 | 655, 68, 15, 253 |
| 131, 68, 3, 253 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 131 x 68 x 3 x 253 = 304252740
Therefore, the lowest common multiple of 655,612,135,759 is 304252740.
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.
655 x 612 x 135 x 759 = 41074119900
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.
655 : 1, 5, 131, 655
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
135 : 1, 3, 5, 9, 15, 27, 45, 135
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,612,135,759, is 1.
Now, the common factors can be found like this.
655:5x 131
612:2x 2x 3x 3x 17
135:3x 3x 3x 5
759:3x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 41074119900/(1x135)
LCM = 41074119900/135
LCM = 304252740
Thus, we can understand that the LCM of 655,612,135,759 is 304252740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 655, 612, 135, 759
1. What is the LCM of 655, 612, 135, 759?
Answer: LCM of 655, 612, 135, 759 is 304252740.
2. How to calculate the LCM of 655, 612, 135, 759?
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 655, 612, 135, 759.
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}.