Find the LCM of 918, 551, 761, 221, 540 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 918, 551, 761, 221, 540. So, keep reading to learn more.
Given numbers are 918,551,761,221,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,551,761,221,540 is 50040574740.
Find LCM of 918,551,761,221,540 with Prime Factorization
2 | 918, 551, 761, 221, 540 |
3 | 459, 551, 761, 221, 270 |
3 | 153, 551, 761, 221, 90 |
3 | 51, 551, 761, 221, 30 |
17 | 17, 551, 761, 221, 10 |
1, 551, 761, 13, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 1 x 551 x 761 x 13 x 10 = 50040574740
Therefore, the lowest common multiple of 918,551,761,221,540 is 50040574740.
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.
918 x 551 x 761 x 221 x 540 = 45937247611320
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
551 : 1, 19, 29, 551
761 : 1, 761
221 : 1, 13, 17, 221
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,551,761,221,540, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
551:19x 29
761:761
221:13x 17
540:2x 2x 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.
2x 3x 3x 3x 17 = 918
Therefore, the value for common factors is 918.
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 = 45937247611320/(1x918)
LCM = 45937247611320/918
LCM = 50040574740
Thus, we can understand that the LCM of 918,551,761,221,540 is 50040574740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 918, 551, 761, 221, 540?
Answer: LCM of 918, 551, 761, 221, 540 is 50040574740.
2. How to calculate the LCM of 918, 551, 761, 221, 540?
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 918, 551, 761, 221, 540.
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}.