LCM of 758, 759, 783, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 759, 783, 138 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 758, 759, 783, 138. So, keep reading to learn more.
Given numbers are 758,759,783,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,759,783,138 is 150159042.
Find LCM of 758,759,783,138 with Prime Factorization
| 2 | 758, 759, 783, 138 |
| 3 | 379, 759, 783, 69 |
| 23 | 379, 253, 261, 23 |
| 379, 11, 261, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 379 x 11 x 261 x 1 = 150159042
Therefore, the lowest common multiple of 758,759,783,138 is 150159042.
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.
758 x 759 x 783 x 138 = 62165843388
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.
758 : 1, 2, 379, 758
759 : 1, 3, 11, 23, 33, 69, 253, 759
783 : 1, 3, 9, 27, 29, 87, 261, 783
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,759,783,138, is 1.
Now, the common factors can be found like this.
758:2x 379
759:3x 11x 23
783:3x 3x 3x 29
138:2x 3x 23
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 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 62165843388/(1x414)
LCM = 62165843388/414
LCM = 150159042
Thus, we can understand that the LCM of 758,759,783,138 is 150159042.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 758, 759, 783, 138
1. What is the LCM of 758, 759, 783, 138?
Answer: LCM of 758, 759, 783, 138 is 150159042.
2. How to calculate the LCM of 758, 759, 783, 138?
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 758, 759, 783, 138.
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}.