LCM of 737, 962, 747, 407, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 962, 747, 407, 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 737, 962, 747, 407, 454. So, keep reading to learn more.
Given numbers are 737,962,747,407,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,962,747,407,454 is 120223403586.
Find LCM of 737,962,747,407,454 with Prime Factorization
| 2 | 737, 962, 747, 407, 454 |
| 11 | 737, 481, 747, 407, 227 |
| 37 | 67, 481, 747, 37, 227 |
| 67, 13, 747, 1, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 67 x 13 x 747 x 1 x 227 = 120223403586
Therefore, the lowest common multiple of 737,962,747,407,454 is 120223403586.
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.
737 x 962 x 747 x 407 x 454 = 97861850519004
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.
737 : 1, 11, 67, 737
962 : 1, 2, 13, 26, 37, 74, 481, 962
747 : 1, 3, 9, 83, 249, 747
407 : 1, 11, 37, 407
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,962,747,407,454, is 1.
Now, the common factors can be found like this.
737:11x 67
962:2x 13x 37
747:3x 3x 83
407:11x 37
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 11x 37 = 814
Therefore, the value for common factors is 814.
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 = 97861850519004/(1x814)
LCM = 97861850519004/814
LCM = 120223403586
Thus, we can understand that the LCM of 737,962,747,407,454 is 120223403586.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 737, 962, 747, 407, 454
1. What is the LCM of 737, 962, 747, 407, 454?
Answer: LCM of 737, 962, 747, 407, 454 is 120223403586.
2. How to calculate the LCM of 737, 962, 747, 407, 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 737, 962, 747, 407, 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}.