LCM of 377, 932, 784, 650, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 932, 784, 650, 616 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 377, 932, 784, 650, 616. So, keep reading to learn more.
Given numbers are 377,932,784,650,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,932,784,650,616 is 18938519600.
Find LCM of 377,932,784,650,616 with Prime Factorization
| 2 | 377, 932, 784, 650, 616 |
| 2 | 377, 466, 392, 325, 308 |
| 2 | 377, 233, 196, 325, 154 |
| 7 | 377, 233, 98, 325, 77 |
| 13 | 377, 233, 14, 325, 11 |
| 29, 233, 14, 25, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 29 x 233 x 14 x 25 x 11 = 18938519600
Therefore, the lowest common multiple of 377,932,784,650,616 is 18938519600.
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.
377 x 932 x 784 x 650 x 616 = 110297938150400
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.
377 : 1, 13, 29, 377
932 : 1, 2, 4, 233, 466, 932
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,932,784,650,616, is 1.
Now, the common factors can be found like this.
377:13x 29
932:2x 2x 233
784:2x 2x 2x 2x 7x 7
650:2x 5x 5x 13
616:2x 2x 2x 7x 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 7x 13 = 5824
Therefore, the value for common factors is 5824.
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 = 110297938150400/(1x5824)
LCM = 110297938150400/5824
LCM = 18938519600
Thus, we can understand that the LCM of 377,932,784,650,616 is 18938519600.
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FAQs on LCM of 377, 932, 784, 650, 616
1. What is the LCM of 377, 932, 784, 650, 616?
Answer: LCM of 377, 932, 784, 650, 616 is 18938519600.
2. How to calculate the LCM of 377, 932, 784, 650, 616?
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 377, 932, 784, 650, 616.
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}.