LCM of 775, 627, 936, 221, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 627, 936, 221, 493 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 775, 627, 936, 221, 493. So, keep reading to learn more.
Given numbers are 775,627,936,221,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,627,936,221,493 is 74743039800.
Find LCM of 775,627,936,221,493 with Prime Factorization
| 3 | 775, 627, 936, 221, 493 |
| 13 | 775, 209, 312, 221, 493 |
| 17 | 775, 209, 24, 17, 493 |
| 775, 209, 24, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 775 x 209 x 24 x 1 x 29 = 74743039800
Therefore, the lowest common multiple of 775,627,936,221,493 is 74743039800.
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.
775 x 627 x 936 x 221 x 493 = 49554635387400
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.
775 : 1, 5, 25, 31, 155, 775
627 : 1, 3, 11, 19, 33, 57, 209, 627
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
221 : 1, 13, 17, 221
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,627,936,221,493, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
627:3x 11x 19
936:2x 2x 2x 3x 3x 13
221:13x 17
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 17 = 663
Therefore, the value for common factors is 663.
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 = 49554635387400/(1x663)
LCM = 49554635387400/663
LCM = 74743039800
Thus, we can understand that the LCM of 775,627,936,221,493 is 74743039800.
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FAQs on LCM of 775, 627, 936, 221, 493
1. What is the LCM of 775, 627, 936, 221, 493?
Answer: LCM of 775, 627, 936, 221, 493 is 74743039800.
2. How to calculate the LCM of 775, 627, 936, 221, 493?
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 775, 627, 936, 221, 493.
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}.