LCM of 962, 703, 352, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 703, 352, 730 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, 703, 352, 730. So, keep reading to learn more.
Given numbers are 962,703,352,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,703,352,730 is 1174178720.
Find LCM of 962,703,352,730 with Prime Factorization
| 2 | 962, 703, 352, 730 |
| 37 | 481, 703, 176, 365 |
| 13, 19, 176, 365 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 13 x 19 x 176 x 365 = 1174178720
Therefore, the lowest common multiple of 962,703,352,730 is 1174178720.
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 703 x 352 x 730 = 173778450560
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
703 : 1, 19, 37, 703
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,703,352,730, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
703:19x 37
352:2x 2x 2x 2x 2x 11
730:2x 5x 73
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 37 = 148
Therefore, the value for common factors is 148.
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 = 173778450560/(1x148)
LCM = 173778450560/148
LCM = 1174178720
Thus, we can understand that the LCM of 962,703,352,730 is 1174178720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 962, 703, 352, 730
1. What is the LCM of 962, 703, 352, 730?
Answer: LCM of 962, 703, 352, 730 is 1174178720.
2. How to calculate the LCM of 962, 703, 352, 730?
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, 703, 352, 730.
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}.