LCM of 451, 984, 962, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 984, 962, 703 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 451, 984, 962, 703. So, keep reading to learn more.
Given numbers are 451,984,962,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,984,962,703 is 98920536.
Find LCM of 451,984,962,703 with Prime Factorization
| 2 | 451, 984, 962, 703 |
| 37 | 451, 492, 481, 703 |
| 41 | 451, 492, 13, 19 |
| 11, 12, 13, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 41 x 11 x 12 x 13 x 19 = 98920536
Therefore, the lowest common multiple of 451,984,962,703 is 98920536.
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.
451 x 984 x 962 x 703 = 300124906224
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.
451 : 1, 11, 41, 451
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
962 : 1, 2, 13, 26, 37, 74, 481, 962
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,984,962,703, is 1.
Now, the common factors can be found like this.
451:11x 41
984:2x 2x 2x 3x 41
962:2x 13x 37
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 37x 41 = 3034
Therefore, the value for common factors is 3034.
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 = 300124906224/(1x3034)
LCM = 300124906224/3034
LCM = 98920536
Thus, we can understand that the LCM of 451,984,962,703 is 98920536.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 451, 984, 962, 703
1. What is the LCM of 451, 984, 962, 703?
Answer: LCM of 451, 984, 962, 703 is 98920536.
2. How to calculate the LCM of 451, 984, 962, 703?
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 451, 984, 962, 703.
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}.