LCM of 754, 252, 388, 572, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 252, 388, 572, 294 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, 252, 388, 572, 294. So, keep reading to learn more.
Given numbers are 754,252,388,572,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,252,388,572,294 is 709584876.
Find LCM of 754,252,388,572,294 with Prime Factorization
| 2 | 754, 252, 388, 572, 294 |
| 2 | 377, 126, 194, 286, 147 |
| 3 | 377, 63, 97, 143, 147 |
| 7 | 377, 21, 97, 143, 49 |
| 13 | 377, 3, 97, 143, 7 |
| 29, 3, 97, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 29 x 3 x 97 x 11 x 7 = 709584876
Therefore, the lowest common multiple of 754,252,388,572,294 is 709584876.
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 252 x 388 x 572 x 294 = 12397866953472
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
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
388 : 1, 2, 4, 97, 194, 388
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,252,388,572,294, is 2.
Now, the common factors can be found like this.
754:2x 13x 29
252:2x 2x 3x 3x 7
388:2x 2x 97
572:2x 2x 11x 13
294:2x 3x 7x 7
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 2x 2x 3x 7x 13 = 8736
Therefore, the value for common factors is 8736.
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 = 12397866953472/(2x8736)
LCM = 12397866953472/17472
LCM = 709584876
Thus, we can understand that the LCM of 754,252,388,572,294 is 709584876.
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FAQs on LCM of 754, 252, 388, 572, 294
1. What is the LCM of 754, 252, 388, 572, 294?
Answer: LCM of 754, 252, 388, 572, 294 is 709584876.
2. How to calculate the LCM of 754, 252, 388, 572, 294?
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, 252, 388, 572, 294.
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}.