LCM of 123, 527, 868, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 123, 527, 868, 738 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 123, 527, 868, 738. So, keep reading to learn more.
Given numbers are 123,527,868,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 123,527,868,738 is 5444964.
Find LCM of 123,527,868,738 with Prime Factorization
| 2 | 123, 527, 868, 738 |
| 3 | 123, 527, 434, 369 |
| 31 | 41, 527, 434, 123 |
| 41 | 41, 17, 14, 123 |
| 1, 17, 14, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 41 x 1 x 17 x 14 x 3 = 5444964
Therefore, the lowest common multiple of 123,527,868,738 is 5444964.
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.
123 x 527 x 868 x 738 = 41523295464
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.
123 : 1, 3, 41, 123
527 : 1, 17, 31, 527
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,527,868,738, is 1.
Now, the common factors can be found like this.
123:3x 41
527:17x 31
868:2x 2x 7x 31
738:2x 3x 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 3x 31x 41 = 7626
Therefore, the value for common factors is 7626.
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 = 41523295464/(1x7626)
LCM = 41523295464/7626
LCM = 5444964
Thus, we can understand that the LCM of 123,527,868,738 is 5444964.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 123, 527, 868, 738
1. What is the LCM of 123, 527, 868, 738?
Answer: LCM of 123, 527, 868, 738 is 5444964.
2. How to calculate the LCM of 123, 527, 868, 738?
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 123, 527, 868, 738.
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}.