LCM of 751, 364, 688, 629, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 364, 688, 629, 672 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, 364, 688, 629, 672. So, keep reading to learn more.
Given numbers are 751,364,688,629,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,364,688,629,672 is 177448226592.
Find LCM of 751,364,688,629,672 with Prime Factorization
| 2 | 751, 364, 688, 629, 672 |
| 2 | 751, 182, 344, 629, 336 |
| 2 | 751, 91, 172, 629, 168 |
| 2 | 751, 91, 86, 629, 84 |
| 7 | 751, 91, 43, 629, 42 |
| 751, 13, 43, 629, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 751 x 13 x 43 x 629 x 6 = 177448226592
Therefore, the lowest common multiple of 751,364,688,629,672 is 177448226592.
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 364 x 688 x 629 x 672 = 79496805513216
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
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
629 : 1, 17, 37, 629
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,364,688,629,672, is 1.
Now, the common factors can be found like this.
751:751
364:2x 2x 7x 13
688:2x 2x 2x 2x 43
629:17x 37
672:2x 2x 2x 2x 2x 3x 7
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 2x 2x 7 = 448
Therefore, the value for common factors is 448.
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 = 79496805513216/(1x448)
LCM = 79496805513216/448
LCM = 177448226592
Thus, we can understand that the LCM of 751,364,688,629,672 is 177448226592.
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FAQs on LCM of 751, 364, 688, 629, 672
1. What is the LCM of 751, 364, 688, 629, 672?
Answer: LCM of 751, 364, 688, 629, 672 is 177448226592.
2. How to calculate the LCM of 751, 364, 688, 629, 672?
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, 364, 688, 629, 672.
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}.