LCM of 751, 432, 944, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 432, 944, 767 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, 432, 944, 767. So, keep reading to learn more.
Given numbers are 751,432,944,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,432,944,767 is 248839344.
Find LCM of 751,432,944,767 with Prime Factorization
| 2 | 751, 432, 944, 767 |
| 2 | 751, 216, 472, 767 |
| 2 | 751, 108, 236, 767 |
| 2 | 751, 54, 118, 767 |
| 59 | 751, 27, 59, 767 |
| 751, 27, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 59 x 751 x 27 x 1 x 13 = 248839344
Therefore, the lowest common multiple of 751,432,944,767 is 248839344.
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 432 x 944 x 767 = 234904340736
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
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,432,944,767, is 1.
Now, the common factors can be found like this.
751:751
432:2x 2x 2x 2x 3x 3x 3
944:2x 2x 2x 2x 59
767:13x 59
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 2x 2x 59 = 944
Therefore, the value for common factors is 944.
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 = 234904340736/(1x944)
LCM = 234904340736/944
LCM = 248839344
Thus, we can understand that the LCM of 751,432,944,767 is 248839344.
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FAQs on LCM of 751, 432, 944, 767
1. What is the LCM of 751, 432, 944, 767?
Answer: LCM of 751, 432, 944, 767 is 248839344.
2. How to calculate the LCM of 751, 432, 944, 767?
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, 432, 944, 767.
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}.