LCM of 674, 703, 677, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 703, 677, 392 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 674, 703, 677, 392. So, keep reading to learn more.
Given numbers are 674,703,677,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,703,677,392 is 62872388824.
Find LCM of 674,703,677,392 with Prime Factorization
| 2 | 674, 703, 677, 392 |
| 337, 703, 677, 196 |
Multiply the prime numbers at the bottom and the left side.
2 x 337 x 703 x 677 x 196 = 62872388824
Therefore, the lowest common multiple of 674,703,677,392 is 62872388824.
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.
674 x 703 x 677 x 392 = 125744777648
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.
674 : 1, 2, 337, 674
703 : 1, 19, 37, 703
677 : 1, 677
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,703,677,392, is 1.
Now, the common factors can be found like this.
674:2x 337
703:19x 37
677:677
392:2x 2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 125744777648/(1x2)
LCM = 125744777648/2
LCM = 62872388824
Thus, we can understand that the LCM of 674,703,677,392 is 62872388824.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 674, 703, 677, 392
1. What is the LCM of 674, 703, 677, 392?
Answer: LCM of 674, 703, 677, 392 is 62872388824.
2. How to calculate the LCM of 674, 703, 677, 392?
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 674, 703, 677, 392.
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}.