LCM of 753, 119, 516, 251
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 753, 119, 516, 251 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 753, 119, 516, 251. So, keep reading to learn more.
Given numbers are 753,119,516,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,119,516,251 is 15412404.
Find LCM of 753,119,516,251 with Prime Factorization
| 3 | 753, 119, 516, 251 |
| 251 | 251, 119, 172, 251 |
| 1, 119, 172, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 251 x 1 x 119 x 172 x 1 = 15412404
Therefore, the lowest common multiple of 753,119,516,251 is 15412404.
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.
753 x 119 x 516 x 251 = 11605540212
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.
753 : 1, 3, 251, 753
119 : 1, 7, 17, 119
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,119,516,251, is 1.
Now, the common factors can be found like this.
753:3x 251
119:7x 17
516:2x 2x 3x 43
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 251 = 753
Therefore, the value for common factors is 753.
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 = 11605540212/(1x753)
LCM = 11605540212/753
LCM = 15412404
Thus, we can understand that the LCM of 753,119,516,251 is 15412404.
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FAQs on LCM of 753, 119, 516, 251
1. What is the LCM of 753, 119, 516, 251?
Answer: LCM of 753, 119, 516, 251 is 15412404.
2. How to calculate the LCM of 753, 119, 516, 251?
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 753, 119, 516, 251.
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}.