LCM of 474, 142, 789, 845, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 142, 789, 845, 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 474, 142, 789, 845, 923. So, keep reading to learn more.
Given numbers are 474,142,789,845,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,142,789,845,923 is 7479096690.
Find LCM of 474,142,789,845,923 with Prime Factorization
| 2 | 474, 142, 789, 845, 923 |
| 3 | 237, 71, 789, 845, 923 |
| 13 | 79, 71, 263, 845, 923 |
| 71 | 79, 71, 263, 65, 71 |
| 79, 1, 263, 65, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 71 x 79 x 1 x 263 x 65 x 1 = 7479096690
Therefore, the lowest common multiple of 474,142,789,845,923 is 7479096690.
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.
474 x 142 x 789 x 845 x 923 = 41419237469220
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
142 : 1, 2, 71, 142
789 : 1, 3, 263, 789
845 : 1, 5, 13, 65, 169, 845
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,142,789,845,923, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
142:2x 71
789:3x 263
845:5x 13x 13
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 3x 13x 71 = 5538
Therefore, the value for common factors is 5538.
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 = 41419237469220/(1x5538)
LCM = 41419237469220/5538
LCM = 7479096690
Thus, we can understand that the LCM of 474,142,789,845,923 is 7479096690.
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FAQs on LCM of 474, 142, 789, 845, 923
1. What is the LCM of 474, 142, 789, 845, 923?
Answer: LCM of 474, 142, 789, 845, 923 is 7479096690.
2. How to calculate the LCM of 474, 142, 789, 845, 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 474, 142, 789, 845, 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}.