LCM of 761, 430, 504, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 761, 430, 504, 450 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 761, 430, 504, 450. So, keep reading to learn more.
Given numbers are 761,430,504,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 761,430,504,450 is 412309800.
Find LCM of 761,430,504,450 with Prime Factorization
| 2 | 761, 430, 504, 450 |
| 3 | 761, 215, 252, 225 |
| 3 | 761, 215, 84, 75 |
| 5 | 761, 215, 28, 25 |
| 761, 43, 28, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 761 x 43 x 28 x 5 = 412309800
Therefore, the lowest common multiple of 761,430,504,450 is 412309800.
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.
761 x 430 x 504 x 450 = 74215764000
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.
761 : 1, 761
430 : 1, 2, 5, 10, 43, 86, 215, 430
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,430,504,450, is 1.
Now, the common factors can be found like this.
761:761
430:2x 5x 43
504:2x 2x 2x 3x 3x 7
450:2x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 74215764000/(1x180)
LCM = 74215764000/180
LCM = 412309800
Thus, we can understand that the LCM of 761,430,504,450 is 412309800.
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FAQs on LCM of 761, 430, 504, 450
1. What is the LCM of 761, 430, 504, 450?
Answer: LCM of 761, 430, 504, 450 is 412309800.
2. How to calculate the LCM of 761, 430, 504, 450?
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 761, 430, 504, 450.
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}.