LCM of 923, 754, 292, 870, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 754, 292, 870, 295 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 923, 754, 292, 870, 295. So, keep reading to learn more.
Given numbers are 923,754,292,870,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,754,292,870,295 is 6917128140.
Find LCM of 923,754,292,870,295 with Prime Factorization
| 2 | 923, 754, 292, 870, 295 |
| 5 | 923, 377, 146, 435, 295 |
| 13 | 923, 377, 146, 87, 59 |
| 29 | 71, 29, 146, 87, 59 |
| 71, 1, 146, 3, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 29 x 71 x 1 x 146 x 3 x 59 = 6917128140
Therefore, the lowest common multiple of 923,754,292,870,295 is 6917128140.
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.
923 x 754 x 292 x 870 x 295 = 52155146175600
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.
923 : 1, 13, 71, 923
754 : 1, 2, 13, 26, 29, 58, 377, 754
292 : 1, 2, 4, 73, 146, 292
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,754,292,870,295, is 1.
Now, the common factors can be found like this.
923:13x 71
754:2x 13x 29
292:2x 2x 73
870:2x 3x 5x 29
295:5x 59
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 5x 13x 29 = 7540
Therefore, the value for common factors is 7540.
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 = 52155146175600/(1x7540)
LCM = 52155146175600/7540
LCM = 6917128140
Thus, we can understand that the LCM of 923,754,292,870,295 is 6917128140.
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FAQs on LCM of 923, 754, 292, 870, 295
1. What is the LCM of 923, 754, 292, 870, 295?
Answer: LCM of 923, 754, 292, 870, 295 is 6917128140.
2. How to calculate the LCM of 923, 754, 292, 870, 295?
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 923, 754, 292, 870, 295.
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}.