LCM of 372, 687, 784, 978, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 687, 784, 978, 880 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 372, 687, 784, 978, 880. So, keep reading to learn more.
Given numbers are 372,687,784,978,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,687,784,978,880 is 149687242320.
Find LCM of 372,687,784,978,880 with Prime Factorization
| 2 | 372, 687, 784, 978, 880 |
| 2 | 186, 687, 392, 489, 440 |
| 2 | 93, 687, 196, 489, 220 |
| 2 | 93, 687, 98, 489, 110 |
| 3 | 93, 687, 49, 489, 55 |
| 31, 229, 49, 163, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 31 x 229 x 49 x 163 x 55 = 149687242320
Therefore, the lowest common multiple of 372,687,784,978,880 is 149687242320.
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.
372 x 687 x 784 x 978 x 880 = 172439703152640
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
687 : 1, 3, 229, 687
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
978 : 1, 2, 3, 6, 163, 326, 489, 978
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,687,784,978,880, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
687:3x 229
784:2x 2x 2x 2x 7x 7
978:2x 3x 163
880:2x 2x 2x 2x 5x 11
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 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 172439703152640/(1x1152)
LCM = 172439703152640/1152
LCM = 149687242320
Thus, we can understand that the LCM of 372,687,784,978,880 is 149687242320.
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FAQs on LCM of 372, 687, 784, 978, 880
1. What is the LCM of 372, 687, 784, 978, 880?
Answer: LCM of 372, 687, 784, 978, 880 is 149687242320.
2. How to calculate the LCM of 372, 687, 784, 978, 880?
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 372, 687, 784, 978, 880.
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}.