LCM of 349, 754, 936, 923, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 349, 754, 936, 923, 971 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 349, 754, 936, 923, 971. So, keep reading to learn more.
Given numbers are 349,754,936,923,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 349,754,936,923,971 is 653095741896.
Find LCM of 349,754,936,923,971 with Prime Factorization
| 2 | 349, 754, 936, 923, 971 |
| 13 | 349, 377, 468, 923, 971 |
| 349, 29, 36, 71, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 349 x 29 x 36 x 71 x 971 = 653095741896
Therefore, the lowest common multiple of 349,754,936,923,971 is 653095741896.
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.
349 x 754 x 936 x 923 x 971 = 220746360760848
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.
349 : 1, 349
754 : 1, 2, 13, 26, 29, 58, 377, 754
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
923 : 1, 13, 71, 923
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,754,936,923,971, is 1.
Now, the common factors can be found like this.
349:349
754:2x 13x 29
936:2x 2x 2x 3x 3x 13
923:13x 71
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 220746360760848/(1x338)
LCM = 220746360760848/338
LCM = 653095741896
Thus, we can understand that the LCM of 349,754,936,923,971 is 653095741896.
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FAQs on LCM of 349, 754, 936, 923, 971
1. What is the LCM of 349, 754, 936, 923, 971?
Answer: LCM of 349, 754, 936, 923, 971 is 653095741896.
2. How to calculate the LCM of 349, 754, 936, 923, 971?
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 349, 754, 936, 923, 971.
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}.