LCM of 596, 703, 959, 855, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 703, 959, 855, 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 596, 703, 959, 855, 152. So, keep reading to learn more.
Given numbers are 596,703,959,855,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,703,959,855,152 is 36162854280.
Find LCM of 596,703,959,855,152 with Prime Factorization
| 2 | 596, 703, 959, 855, 152 |
| 2 | 298, 703, 959, 855, 76 |
| 19 | 149, 703, 959, 855, 38 |
| 149, 37, 959, 45, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 149 x 37 x 959 x 45 x 2 = 36162854280
Therefore, the lowest common multiple of 596,703,959,855,152 is 36162854280.
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.
596 x 703 x 959 x 855 x 152 = 52219161580320
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.
596 : 1, 2, 4, 149, 298, 596
703 : 1, 19, 37, 703
959 : 1, 7, 137, 959
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
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 596,703,959,855,152, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
703:19x 37
959:7x 137
855:3x 3x 5x 19
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 2x 19x 19 = 1444
Therefore, the value for common factors is 1444.
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 = 52219161580320/(1x1444)
LCM = 52219161580320/1444
LCM = 36162854280
Thus, we can understand that the LCM of 596,703,959,855,152 is 36162854280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 596, 703, 959, 855, 152
1. What is the LCM of 596, 703, 959, 855, 152?
Answer: LCM of 596, 703, 959, 855, 152 is 36162854280.
2. How to calculate the LCM of 596, 703, 959, 855, 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 596, 703, 959, 855, 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}.