LCM of 774, 773, 495, 924, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 773, 495, 924, 190 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 774, 773, 495, 924, 190. So, keep reading to learn more.
Given numbers are 774,773,495,924,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,773,495,924,190 is 8753158260.
Find LCM of 774,773,495,924,190 with Prime Factorization
| 2 | 774, 773, 495, 924, 190 |
| 3 | 387, 773, 495, 462, 95 |
| 3 | 129, 773, 165, 154, 95 |
| 5 | 43, 773, 55, 154, 95 |
| 11 | 43, 773, 11, 154, 19 |
| 43, 773, 1, 14, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 43 x 773 x 1 x 14 x 19 = 8753158260
Therefore, the lowest common multiple of 774,773,495,924,190 is 8753158260.
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.
774 x 773 x 495 x 924 x 190 = 51993760064400
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
773 : 1, 773
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,773,495,924,190, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
773:773
495:3x 3x 5x 11
924:2x 2x 3x 7x 11
190:2x 5x 19
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 3x 3x 3x 5x 11 = 5940
Therefore, the value for common factors is 5940.
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 = 51993760064400/(1x5940)
LCM = 51993760064400/5940
LCM = 8753158260
Thus, we can understand that the LCM of 774,773,495,924,190 is 8753158260.
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FAQs on LCM of 774, 773, 495, 924, 190
1. What is the LCM of 774, 773, 495, 924, 190?
Answer: LCM of 774, 773, 495, 924, 190 is 8753158260.
2. How to calculate the LCM of 774, 773, 495, 924, 190?
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 774, 773, 495, 924, 190.
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}.