LCM of 703, 152, 814, 218, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 152, 814, 218, 352 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 703, 152, 814, 218, 352. So, keep reading to learn more.
Given numbers are 703,152,814,218,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,152,814,218,352 is 26972704.
Find LCM of 703,152,814,218,352 with Prime Factorization
| 2 | 703, 152, 814, 218, 352 |
| 2 | 703, 76, 407, 109, 176 |
| 2 | 703, 38, 407, 109, 88 |
| 11 | 703, 19, 407, 109, 44 |
| 19 | 703, 19, 37, 109, 4 |
| 37 | 37, 1, 37, 109, 4 |
| 1, 1, 1, 109, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 19 x 37 x 1 x 1 x 1 x 109 x 4 = 26972704
Therefore, the lowest common multiple of 703,152,814,218,352 is 26972704.
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.
703 x 152 x 814 x 218 x 352 = 6674557441024
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.
703 : 1, 19, 37, 703
152 : 1, 2, 4, 8, 19, 38, 76, 152
814 : 1, 2, 11, 22, 37, 74, 407, 814
218 : 1, 2, 109, 218
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,152,814,218,352, is 1.
Now, the common factors can be found like this.
703:19x 37
152:2x 2x 2x 19
814:2x 11x 37
218:2x 109
352:2x 2x 2x 2x 2x 11
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 11x 19x 37 = 247456
Therefore, the value for common factors is 247456.
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 = 6674557441024/(1x247456)
LCM = 6674557441024/247456
LCM = 26972704
Thus, we can understand that the LCM of 703,152,814,218,352 is 26972704.
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FAQs on LCM of 703, 152, 814, 218, 352
1. What is the LCM of 703, 152, 814, 218, 352?
Answer: LCM of 703, 152, 814, 218, 352 is 26972704.
2. How to calculate the LCM of 703, 152, 814, 218, 352?
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 703, 152, 814, 218, 352.
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}.