LCM of 773, 687, 119, 595, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 687, 119, 595, 152 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, 687, 119, 595, 152. So, keep reading to learn more.
Given numbers are 773,687,119,595,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,687,119,595,152 is 48028252440.
Find LCM of 773,687,119,595,152 with Prime Factorization
| 7 | 773, 687, 119, 595, 152 |
| 17 | 773, 687, 17, 85, 152 |
| 773, 687, 1, 5, 152 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 773 x 687 x 1 x 5 x 152 = 48028252440
Therefore, the lowest common multiple of 773,687,119,595,152 is 48028252440.
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 687 x 119 x 595 x 152 = 5715362040360
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
687 : 1, 3, 229, 687
119 : 1, 7, 17, 119
595 : 1, 5, 7, 17, 35, 85, 119, 595
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,687,119,595,152, is 1.
Now, the common factors can be found like this.
773:773
687:3x 229
119:7x 17
595:5x 7x 17
152:2x 2x 2x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 5715362040360/(1x119)
LCM = 5715362040360/119
LCM = 48028252440
Thus, we can understand that the LCM of 773,687,119,595,152 is 48028252440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 773, 687, 119, 595, 152
1. What is the LCM of 773, 687, 119, 595, 152?
Answer: LCM of 773, 687, 119, 595, 152 is 48028252440.
2. How to calculate the LCM of 773, 687, 119, 595, 152?
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, 687, 119, 595, 152.
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}.