LCM of 762, 820, 551, 440, 116
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 820, 551, 440, 116 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 762, 820, 551, 440, 116. So, keep reading to learn more.
Given numbers are 762,820,551,440,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,820,551,440,116 is 3787155240.
Find LCM of 762,820,551,440,116 with Prime Factorization
| 2 | 762, 820, 551, 440, 116 |
| 2 | 381, 410, 551, 220, 58 |
| 5 | 381, 205, 551, 110, 29 |
| 29 | 381, 41, 551, 22, 29 |
| 381, 41, 19, 22, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 29 x 381 x 41 x 19 x 22 x 1 = 3787155240
Therefore, the lowest common multiple of 762,820,551,440,116 is 3787155240.
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.
762 x 820 x 551 x 440 x 116 = 17572400313600
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
551 : 1, 19, 29, 551
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,820,551,440,116, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
820:2x 2x 5x 41
551:19x 29
440:2x 2x 2x 5x 11
116:2x 2x 29
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 5x 29 = 4640
Therefore, the value for common factors is 4640.
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 = 17572400313600/(1x4640)
LCM = 17572400313600/4640
LCM = 3787155240
Thus, we can understand that the LCM of 762,820,551,440,116 is 3787155240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 762, 820, 551, 440, 116
1. What is the LCM of 762, 820, 551, 440, 116?
Answer: LCM of 762, 820, 551, 440, 116 is 3787155240.
2. How to calculate the LCM of 762, 820, 551, 440, 116?
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 762, 820, 551, 440, 116.
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}.