LCM of 703, 836, 399, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 836, 399, 148 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, 836, 399, 148. So, keep reading to learn more.
Given numbers are 703,836,399,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,836,399,148 is 649572.
Find LCM of 703,836,399,148 with Prime Factorization
| 2 | 703, 836, 399, 148 |
| 2 | 703, 418, 399, 74 |
| 19 | 703, 209, 399, 37 |
| 37 | 37, 11, 21, 37 |
| 1, 11, 21, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 37 x 1 x 11 x 21 x 1 = 649572
Therefore, the lowest common multiple of 703,836,399,148 is 649572.
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 836 x 399 x 148 = 34705332816
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
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
399 : 1, 3, 7, 19, 21, 57, 133, 399
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,836,399,148, is 1.
Now, the common factors can be found like this.
703:19x 37
836:2x 2x 11x 19
399:3x 7x 19
148:2x 2x 37
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 19x 37 = 53428
Therefore, the value for common factors is 53428.
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 = 34705332816/(1x53428)
LCM = 34705332816/53428
LCM = 649572
Thus, we can understand that the LCM of 703,836,399,148 is 649572.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 703, 836, 399, 148
1. What is the LCM of 703, 836, 399, 148?
Answer: LCM of 703, 836, 399, 148 is 649572.
2. How to calculate the LCM of 703, 836, 399, 148?
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, 836, 399, 148.
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}.