LCM of 773, 876, 950, 524, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 876, 950, 524, 135 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 773, 876, 950, 524, 135. So, keep reading to learn more.
Given numbers are 773,876,950,524,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,876,950,524,135 is 379219808700.
Find LCM of 773,876,950,524,135 with Prime Factorization
| 2 | 773, 876, 950, 524, 135 |
| 2 | 773, 438, 475, 262, 135 |
| 3 | 773, 219, 475, 131, 135 |
| 5 | 773, 73, 475, 131, 45 |
| 773, 73, 95, 131, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 773 x 73 x 95 x 131 x 9 = 379219808700
Therefore, the lowest common multiple of 773,876,950,524,135 is 379219808700.
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.
773 x 876 x 950 x 524 x 135 = 45506377044000
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.
773 : 1, 773
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
524 : 1, 2, 4, 131, 262, 524
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,876,950,524,135, is 1.
Now, the common factors can be found like this.
773:773
876:2x 2x 3x 73
950:2x 5x 5x 19
524:2x 2x 131
135:3x 3x 3x 5
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 45506377044000/(1x120)
LCM = 45506377044000/120
LCM = 379219808700
Thus, we can understand that the LCM of 773,876,950,524,135 is 379219808700.
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FAQs on LCM of 773, 876, 950, 524, 135
1. What is the LCM of 773, 876, 950, 524, 135?
Answer: LCM of 773, 876, 950, 524, 135 is 379219808700.
2. How to calculate the LCM of 773, 876, 950, 524, 135?
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 773, 876, 950, 524, 135.
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}.