LCM of 782, 161, 659, 632, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 161, 659, 632, 153 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 782, 161, 659, 632, 153. So, keep reading to learn more.
Given numbers are 782,161,659,632,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,161,659,632,153 is 10259348904.
Find LCM of 782,161,659,632,153 with Prime Factorization
| 2 | 782, 161, 659, 632, 153 |
| 17 | 391, 161, 659, 316, 153 |
| 23 | 23, 161, 659, 316, 9 |
| 1, 7, 659, 316, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 1 x 7 x 659 x 316 x 9 = 10259348904
Therefore, the lowest common multiple of 782,161,659,632,153 is 10259348904.
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.
782 x 161 x 659 x 632 x 153 = 8022810842928
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
161 : 1, 7, 23, 161
659 : 1, 659
632 : 1, 2, 4, 8, 79, 158, 316, 632
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,161,659,632,153, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
161:7x 23
659:659
632:2x 2x 2x 79
153:3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 23 = 782
Therefore, the value for common factors is 782.
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 = 8022810842928/(1x782)
LCM = 8022810842928/782
LCM = 10259348904
Thus, we can understand that the LCM of 782,161,659,632,153 is 10259348904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 161, 659, 632, 153
1. What is the LCM of 782, 161, 659, 632, 153?
Answer: LCM of 782, 161, 659, 632, 153 is 10259348904.
2. How to calculate the LCM of 782, 161, 659, 632, 153?
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 782, 161, 659, 632, 153.
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}.