LCM of 667, 902, 136, 658, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 902, 136, 658, 123 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 667, 902, 136, 658, 123. So, keep reading to learn more.
Given numbers are 667,902,136,658,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,902,136,658,123 is 40379267544.
Find LCM of 667,902,136,658,123 with Prime Factorization
| 2 | 667, 902, 136, 658, 123 |
| 41 | 667, 451, 68, 329, 123 |
| 667, 11, 68, 329, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 667 x 11 x 68 x 329 x 3 = 40379267544
Therefore, the lowest common multiple of 667,902,136,658,123 is 40379267544.
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.
667 x 902 x 136 x 658 x 123 = 6622199877216
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.
667 : 1, 23, 29, 667
902 : 1, 2, 11, 22, 41, 82, 451, 902
136 : 1, 2, 4, 8, 17, 34, 68, 136
658 : 1, 2, 7, 14, 47, 94, 329, 658
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,902,136,658,123, is 1.
Now, the common factors can be found like this.
667:23x 29
902:2x 11x 41
136:2x 2x 2x 17
658:2x 7x 47
123:3x 41
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 41 = 164
Therefore, the value for common factors is 164.
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 = 6622199877216/(1x164)
LCM = 6622199877216/164
LCM = 40379267544
Thus, we can understand that the LCM of 667,902,136,658,123 is 40379267544.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 667, 902, 136, 658, 123
1. What is the LCM of 667, 902, 136, 658, 123?
Answer: LCM of 667, 902, 136, 658, 123 is 40379267544.
2. How to calculate the LCM of 667, 902, 136, 658, 123?
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 667, 902, 136, 658, 123.
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}.