LCM of 751, 542, 813, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 542, 813, 454 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 751, 542, 813, 454. So, keep reading to learn more.
Given numbers are 751,542,813,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,542,813,454 is 277195602.
Find LCM of 751,542,813,454 with Prime Factorization
| 2 | 751, 542, 813, 454 |
| 271 | 751, 271, 813, 227 |
| 751, 1, 3, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 271 x 751 x 1 x 3 x 227 = 277195602
Therefore, the lowest common multiple of 751,542,813,454 is 277195602.
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.
751 x 542 x 813 x 454 = 150240016284
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.
751 : 1, 751
542 : 1, 2, 271, 542
813 : 1, 3, 271, 813
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,542,813,454, is 1.
Now, the common factors can be found like this.
751:751
542:2x 271
813:3x 271
454:2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 271 = 542
Therefore, the value for common factors is 542.
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 = 150240016284/(1x542)
LCM = 150240016284/542
LCM = 277195602
Thus, we can understand that the LCM of 751,542,813,454 is 277195602.
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FAQs on LCM of 751, 542, 813, 454
1. What is the LCM of 751, 542, 813, 454?
Answer: LCM of 751, 542, 813, 454 is 277195602.
2. How to calculate the LCM of 751, 542, 813, 454?
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 751, 542, 813, 454.
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}.