LCM of 335, 767, 609, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 335, 767, 609, 767 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 335, 767, 609, 767. So, keep reading to learn more.
Given numbers are 335,767,609,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,767,609,767 is 156479505.
Find LCM of 335,767,609,767 with Prime Factorization
| 13 | 335, 767, 609, 767 |
| 59 | 335, 59, 609, 59 |
| 335, 1, 609, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 59 x 335 x 1 x 609 x 1 = 156479505
Therefore, the lowest common multiple of 335,767,609,767 is 156479505.
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.
335 x 767 x 609 x 767 = 120019780335
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.
335 : 1, 5, 67, 335
767 : 1, 13, 59, 767
609 : 1, 3, 7, 21, 29, 87, 203, 609
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,767,609,767, is 1.
Now, the common factors can be found like this.
335:5x 67
767:13x 59
609:3x 7x 29
767:13x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 59 = 767
Therefore, the value for common factors is 767.
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 = 120019780335/(1x767)
LCM = 120019780335/767
LCM = 156479505
Thus, we can understand that the LCM of 335,767,609,767 is 156479505.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 335, 767, 609, 767
1. What is the LCM of 335, 767, 609, 767?
Answer: LCM of 335, 767, 609, 767 is 156479505.
2. How to calculate the LCM of 335, 767, 609, 767?
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 335, 767, 609, 767.
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}.