LCM of 962, 512, 703, 356, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 512, 703, 356, 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 962, 512, 703, 356, 152. So, keep reading to learn more.
Given numbers are 962,512,703,356,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,512,703,356,152 is 416445952.
Find LCM of 962,512,703,356,152 with Prime Factorization
| 2 | 962, 512, 703, 356, 152 |
| 2 | 481, 256, 703, 178, 76 |
| 2 | 481, 128, 703, 89, 38 |
| 19 | 481, 64, 703, 89, 19 |
| 37 | 481, 64, 37, 89, 1 |
| 13, 64, 1, 89, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 37 x 13 x 64 x 1 x 89 x 1 = 416445952
Therefore, the lowest common multiple of 962,512,703,356,152 is 416445952.
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.
962 x 512 x 703 x 356 x 152 = 18736736272384
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
703 : 1, 19, 37, 703
356 : 1, 2, 4, 89, 178, 356
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 962,512,703,356,152, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
512:2x 2x 2x 2x 2x 2x 2x 2x 2
703:19x 37
356:2x 2x 89
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 2x 2x 2x 2x 19x 37 = 44992
Therefore, the value for common factors is 44992.
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 = 18736736272384/(1x44992)
LCM = 18736736272384/44992
LCM = 416445952
Thus, we can understand that the LCM of 962,512,703,356,152 is 416445952.
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FAQs on LCM of 962, 512, 703, 356, 152
1. What is the LCM of 962, 512, 703, 356, 152?
Answer: LCM of 962, 512, 703, 356, 152 is 416445952.
2. How to calculate the LCM of 962, 512, 703, 356, 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 962, 512, 703, 356, 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}.