LCM of 754, 762, 535, 478, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 762, 535, 478, 540 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 754, 762, 535, 478, 540. So, keep reading to learn more.
Given numbers are 754,762,535,478,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,762,535,478,540 is 661181220180.
Find LCM of 754,762,535,478,540 with Prime Factorization
| 2 | 754, 762, 535, 478, 540 |
| 3 | 377, 381, 535, 239, 270 |
| 5 | 377, 127, 535, 239, 90 |
| 377, 127, 107, 239, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 377 x 127 x 107 x 239 x 18 = 661181220180
Therefore, the lowest common multiple of 754,762,535,478,540 is 661181220180.
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.
754 x 762 x 535 x 478 x 540 = 79341746421600
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
762 : 1, 2, 3, 6, 127, 254, 381, 762
535 : 1, 5, 107, 535
478 : 1, 2, 239, 478
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,762,535,478,540, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
762:2x 3x 127
535:5x 107
478:2x 239
540:2x 2x 3x 3x 3x 5
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 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 79341746421600/(1x120)
LCM = 79341746421600/120
LCM = 661181220180
Thus, we can understand that the LCM of 754,762,535,478,540 is 661181220180.
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FAQs on LCM of 754, 762, 535, 478, 540
1. What is the LCM of 754, 762, 535, 478, 540?
Answer: LCM of 754, 762, 535, 478, 540 is 661181220180.
2. How to calculate the LCM of 754, 762, 535, 478, 540?
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 754, 762, 535, 478, 540.
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}.