LCM of 661, 735, 360, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 735, 360, 712 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 661, 735, 360, 712. So, keep reading to learn more.
Given numbers are 661,735,360,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,735,360,712 is 1037743560.
Find LCM of 661,735,360,712 with Prime Factorization
| 2 | 661, 735, 360, 712 |
| 2 | 661, 735, 180, 356 |
| 2 | 661, 735, 90, 178 |
| 3 | 661, 735, 45, 89 |
| 5 | 661, 245, 15, 89 |
| 661, 49, 3, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 661 x 49 x 3 x 89 = 1037743560
Therefore, the lowest common multiple of 661,735,360,712 is 1037743560.
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.
661 x 735 x 360 x 712 = 124529227200
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.
661 : 1, 661
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,735,360,712, is 1.
Now, the common factors can be found like this.
661:661
735:3x 5x 7x 7
360:2x 2x 2x 3x 3x 5
712:2x 2x 2x 89
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 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 124529227200/(1x120)
LCM = 124529227200/120
LCM = 1037743560
Thus, we can understand that the LCM of 661,735,360,712 is 1037743560.
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FAQs on LCM of 661, 735, 360, 712
1. What is the LCM of 661, 735, 360, 712?
Answer: LCM of 661, 735, 360, 712 is 1037743560.
2. How to calculate the LCM of 661, 735, 360, 712?
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 661, 735, 360, 712.
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}.