Find the LCM of 720, 379, 551, 956, 120 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 720, 379, 551, 956, 120. So, keep reading to learn more.
Given numbers are 720,379,551,956,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,379,551,956,120 is 35935294320.
Find LCM of 720,379,551,956,120 with Prime Factorization
2 | 720, 379, 551, 956, 120 |
2 | 360, 379, 551, 478, 60 |
2 | 180, 379, 551, 239, 30 |
3 | 90, 379, 551, 239, 15 |
5 | 30, 379, 551, 239, 5 |
6, 379, 551, 239, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 6 x 379 x 551 x 239 x 1 = 35935294320
Therefore, the lowest common multiple of 720,379,551,956,120 is 35935294320.
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.
720 x 379 x 551 x 956 x 120 = 17248941273600
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
379 : 1, 379
551 : 1, 19, 29, 551
956 : 1, 2, 4, 239, 478, 956
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,379,551,956,120, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
379:379
551:19x 29
956:2x 2x 239
120:2x 2x 2x 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 2x 2x 2x 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 17248941273600/(1x480)
LCM = 17248941273600/480
LCM = 35935294320
Thus, we can understand that the LCM of 720,379,551,956,120 is 35935294320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 720, 379, 551, 956, 120?
Answer: LCM of 720, 379, 551, 956, 120 is 35935294320.
2. How to calculate the LCM of 720, 379, 551, 956, 120?
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 720, 379, 551, 956, 120.
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}.