LCM of 749, 672, 904, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 672, 904, 933 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 749, 672, 904, 933. So, keep reading to learn more.
Given numbers are 749,672,904,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,672,904,933 is 2526922272.
Find LCM of 749,672,904,933 with Prime Factorization
| 2 | 749, 672, 904, 933 |
| 2 | 749, 336, 452, 933 |
| 2 | 749, 168, 226, 933 |
| 3 | 749, 84, 113, 933 |
| 7 | 749, 28, 113, 311 |
| 107, 4, 113, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 107 x 4 x 113 x 311 = 2526922272
Therefore, the lowest common multiple of 749,672,904,933 is 2526922272.
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.
749 x 672 x 904 x 933 = 424522941696
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.
749 : 1, 7, 107, 749
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
904 : 1, 2, 4, 8, 113, 226, 452, 904
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,672,904,933, is 1.
Now, the common factors can be found like this.
749:7x 107
672:2x 2x 2x 2x 2x 3x 7
904:2x 2x 2x 113
933:3x 311
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 424522941696/(1x168)
LCM = 424522941696/168
LCM = 2526922272
Thus, we can understand that the LCM of 749,672,904,933 is 2526922272.
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FAQs on LCM of 749, 672, 904, 933
1. What is the LCM of 749, 672, 904, 933?
Answer: LCM of 749, 672, 904, 933 is 2526922272.
2. How to calculate the LCM of 749, 672, 904, 933?
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 749, 672, 904, 933.
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}.