LCM of 904, 226, 334, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 226, 334, 697 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 904, 226, 334, 697. So, keep reading to learn more.
Given numbers are 904,226,334,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,226,334,697 is 105224696.
Find LCM of 904,226,334,697 with Prime Factorization
| 2 | 904, 226, 334, 697 |
| 113 | 452, 113, 167, 697 |
| 4, 1, 167, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 113 x 4 x 1 x 167 x 697 = 105224696
Therefore, the lowest common multiple of 904,226,334,697 is 105224696.
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.
904 x 226 x 334 x 697 = 47561562592
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
226 : 1, 2, 113, 226
334 : 1, 2, 167, 334
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,226,334,697, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
226:2x 113
334:2x 167
697:17x 41
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 113 = 452
Therefore, the value for common factors is 452.
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 = 47561562592/(1x452)
LCM = 47561562592/452
LCM = 105224696
Thus, we can understand that the LCM of 904,226,334,697 is 105224696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 904, 226, 334, 697
1. What is the LCM of 904, 226, 334, 697?
Answer: LCM of 904, 226, 334, 697 is 105224696.
2. How to calculate the LCM of 904, 226, 334, 697?
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 904, 226, 334, 697.
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}.