LCM of 616, 380, 849, 428, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 380, 849, 428, 748 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 616, 380, 849, 428, 748. So, keep reading to learn more.
Given numbers are 616,380,849,428,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,380,849,428,748 is 90374250120.
Find LCM of 616,380,849,428,748 with Prime Factorization
| 2 | 616, 380, 849, 428, 748 |
| 2 | 308, 190, 849, 214, 374 |
| 11 | 154, 95, 849, 107, 187 |
| 14, 95, 849, 107, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 14 x 95 x 849 x 107 x 17 = 90374250120
Therefore, the lowest common multiple of 616,380,849,428,748 is 90374250120.
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.
616 x 380 x 849 x 428 x 748 = 63623472084480
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
849 : 1, 3, 283, 849
428 : 1, 2, 4, 107, 214, 428
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,380,849,428,748, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
380:2x 2x 5x 19
849:3x 283
428:2x 2x 107
748:2x 2x 11x 17
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 11 = 704
Therefore, the value for common factors is 704.
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 = 63623472084480/(1x704)
LCM = 63623472084480/704
LCM = 90374250120
Thus, we can understand that the LCM of 616,380,849,428,748 is 90374250120.
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FAQs on LCM of 616, 380, 849, 428, 748
1. What is the LCM of 616, 380, 849, 428, 748?
Answer: LCM of 616, 380, 849, 428, 748 is 90374250120.
2. How to calculate the LCM of 616, 380, 849, 428, 748?
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 616, 380, 849, 428, 748.
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}.