LCM of 706, 456, 923, 921, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 456, 923, 921, 874 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 706, 456, 923, 921, 874. So, keep reading to learn more.
Given numbers are 706,456,923,921,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,456,923,921,874 is 1049077229304.
Find LCM of 706,456,923,921,874 with Prime Factorization
| 2 | 706, 456, 923, 921, 874 |
| 3 | 353, 228, 923, 921, 437 |
| 19 | 353, 76, 923, 307, 437 |
| 353, 4, 923, 307, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 353 x 4 x 923 x 307 x 23 = 1049077229304
Therefore, the lowest common multiple of 706,456,923,921,874 is 1049077229304.
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.
706 x 456 x 923 x 921 x 874 = 239189608281312
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.
706 : 1, 2, 353, 706
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
923 : 1, 13, 71, 923
921 : 1, 3, 307, 921
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,456,923,921,874, is 1.
Now, the common factors can be found like this.
706:2x 353
456:2x 2x 2x 3x 19
923:13x 71
921:3x 307
874:2x 19x 23
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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 239189608281312/(1x228)
LCM = 239189608281312/228
LCM = 1049077229304
Thus, we can understand that the LCM of 706,456,923,921,874 is 1049077229304.
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FAQs on LCM of 706, 456, 923, 921, 874
1. What is the LCM of 706, 456, 923, 921, 874?
Answer: LCM of 706, 456, 923, 921, 874 is 1049077229304.
2. How to calculate the LCM of 706, 456, 923, 921, 874?
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 706, 456, 923, 921, 874.
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}.