LCM of 950, 374, 156, 611, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 374, 156, 611, 923 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 950, 374, 156, 611, 923. So, keep reading to learn more.
Given numbers are 950,374,156,611,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,374,156,611,923 is 46239807900.
Find LCM of 950,374,156,611,923 with Prime Factorization
| 2 | 950, 374, 156, 611, 923 |
| 13 | 475, 187, 78, 611, 923 |
| 475, 187, 6, 47, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 475 x 187 x 6 x 47 x 71 = 46239807900
Therefore, the lowest common multiple of 950,374,156,611,923 is 46239807900.
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.
950 x 374 x 156 x 611 x 923 = 31258110140400
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
374 : 1, 2, 11, 17, 22, 34, 187, 374
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
611 : 1, 13, 47, 611
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,374,156,611,923, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
374:2x 11x 17
156:2x 2x 3x 13
611:13x 47
923:13x 71
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 31258110140400/(1x676)
LCM = 31258110140400/676
LCM = 46239807900
Thus, we can understand that the LCM of 950,374,156,611,923 is 46239807900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 950, 374, 156, 611, 923
1. What is the LCM of 950, 374, 156, 611, 923?
Answer: LCM of 950, 374, 156, 611, 923 is 46239807900.
2. How to calculate the LCM of 950, 374, 156, 611, 923?
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 950, 374, 156, 611, 923.
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}.