LCM of 714, 754, 812, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 754, 812, 638 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 714, 754, 812, 638. So, keep reading to learn more.
Given numbers are 714,754,812,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,754,812,638 is 5921916.
Find LCM of 714,754,812,638 with Prime Factorization
| 2 | 714, 754, 812, 638 |
| 7 | 357, 377, 406, 319 |
| 29 | 51, 377, 58, 319 |
| 51, 13, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 51 x 13 x 2 x 11 = 5921916
Therefore, the lowest common multiple of 714,754,812,638 is 5921916.
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.
714 x 754 x 812 x 638 = 278898555936
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
754 : 1, 2, 13, 26, 29, 58, 377, 754
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
638 : 1, 2, 11, 22, 29, 58, 319, 638
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,754,812,638, is 2.
Now, the common factors can be found like this.
714:2x 3x 7x 17
754:2x 13x 29
812:2x 2x 7x 29
638:2x 11x 29
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 7x 29x 29 = 23548
Therefore, the value for common factors is 23548.
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 = 278898555936/(2x23548)
LCM = 278898555936/47096
LCM = 5921916
Thus, we can understand that the LCM of 714,754,812,638 is 5921916.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 714, 754, 812, 638
1. What is the LCM of 714, 754, 812, 638?
Answer: LCM of 714, 754, 812, 638 is 5921916.
2. How to calculate the LCM of 714, 754, 812, 638?
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 714, 754, 812, 638.
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}.