LCM of 751, 386, 508, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 386, 508, 635 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 751, 386, 508, 635. So, keep reading to learn more.
Given numbers are 751,386,508,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,386,508,635 is 368155220.
Find LCM of 751,386,508,635 with Prime Factorization
| 2 | 751, 386, 508, 635 |
| 127 | 751, 193, 254, 635 |
| 751, 193, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 127 x 751 x 193 x 2 x 5 = 368155220
Therefore, the lowest common multiple of 751,386,508,635 is 368155220.
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.
751 x 386 x 508 x 635 = 93511425880
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.
751 : 1, 751
386 : 1, 2, 193, 386
508 : 1, 2, 4, 127, 254, 508
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,386,508,635, is 1.
Now, the common factors can be found like this.
751:751
386:2x 193
508:2x 2x 127
635:5x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 127 = 254
Therefore, the value for common factors is 254.
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 = 93511425880/(1x254)
LCM = 93511425880/254
LCM = 368155220
Thus, we can understand that the LCM of 751,386,508,635 is 368155220.
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FAQs on LCM of 751, 386, 508, 635
1. What is the LCM of 751, 386, 508, 635?
Answer: LCM of 751, 386, 508, 635 is 368155220.
2. How to calculate the LCM of 751, 386, 508, 635?
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 751, 386, 508, 635.
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}.