Find the LCM of 509, 473, 761, 761, 135 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 509, 473, 761, 761, 135. So, keep reading to learn more.
Given numbers are 509,473,761,761,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,473,761,761,135 is 24734170395.
Find LCM of 509,473,761,761,135 with Prime Factorization
761 | 509, 473, 761, 761, 135 |
509, 473, 1, 1, 135 |
Multiply the prime numbers at the bottom and the left side.
761 x 509 x 473 x 1 x 1 x 135 = 24734170395
Therefore, the lowest common multiple of 509,473,761,761,135 is 24734170395.
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.
509 x 473 x 761 x 761 x 135 = 18822703670595
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.
509 : 1, 509
473 : 1, 11, 43, 473
761 : 1, 761
761 : 1, 761
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,473,761,761,135, is 1.
Now, the common factors can be found like this.
509:509
473:11x 43
761:761
761:761
135:3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
761 = 761
Therefore, the value for common factors is 761.
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 = 18822703670595/(1x761)
LCM = 18822703670595/761
LCM = 24734170395
Thus, we can understand that the LCM of 509,473,761,761,135 is 24734170395.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 509, 473, 761, 761, 135?
Answer: LCM of 509, 473, 761, 761, 135 is 24734170395.
2. How to calculate the LCM of 509, 473, 761, 761, 135?
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 509, 473, 761, 761, 135.
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}.