LCM of 758, 379, 367, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 379, 367, 638 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 758, 379, 367, 638. So, keep reading to learn more.
Given numbers are 758,379,367,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,379,367,638 is 88741334.
Find LCM of 758,379,367,638 with Prime Factorization
| 2 | 758, 379, 367, 638 |
| 379 | 379, 379, 367, 319 |
| 1, 1, 367, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 379 x 1 x 1 x 367 x 319 = 88741334
Therefore, the lowest common multiple of 758,379,367,638 is 88741334.
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.
758 x 379 x 367 x 638 = 67265931172
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.
758 : 1, 2, 379, 758
379 : 1, 379
367 : 1, 367
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,379,367,638, is 1.
Now, the common factors can be found like this.
758:2x 379
379:379
367:367
638:2x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 379 = 758
Therefore, the value for common factors is 758.
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 = 67265931172/(1x758)
LCM = 67265931172/758
LCM = 88741334
Thus, we can understand that the LCM of 758,379,367,638 is 88741334.
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FAQs on LCM of 758, 379, 367, 638
1. What is the LCM of 758, 379, 367, 638?
Answer: LCM of 758, 379, 367, 638 is 88741334.
2. How to calculate the LCM of 758, 379, 367, 638?
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 758, 379, 367, 638.
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}.