LCM of 782, 667, 609, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 667, 609, 152 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, 667, 609, 152. So, keep reading to learn more.
Given numbers are 782,667,609,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,667,609,152 is 36194088.
Find LCM of 782,667,609,152 with Prime Factorization
| 2 | 782, 667, 609, 152 |
| 23 | 391, 667, 609, 76 |
| 29 | 17, 29, 609, 76 |
| 17, 1, 21, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 29 x 17 x 1 x 21 x 76 = 36194088
Therefore, the lowest common multiple of 782,667,609,152 is 36194088.
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 667 x 609 x 152 = 48282913392
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
667 : 1, 23, 29, 667
609 : 1, 3, 7, 21, 29, 87, 203, 609
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,667,609,152, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
667:23x 29
609:3x 7x 29
152:2x 2x 2x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 29 = 1334
Therefore, the value for common factors is 1334.
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 = 48282913392/(1x1334)
LCM = 48282913392/1334
LCM = 36194088
Thus, we can understand that the LCM of 782,667,609,152 is 36194088.
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FAQs on LCM of 782, 667, 609, 152
1. What is the LCM of 782, 667, 609, 152?
Answer: LCM of 782, 667, 609, 152 is 36194088.
2. How to calculate the LCM of 782, 667, 609, 152?
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, 667, 609, 152.
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}.