LCM of 760, 209, 109, 465, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 209, 109, 465, 742 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 760, 209, 109, 465, 742. So, keep reading to learn more.
Given numbers are 760,209,109,465,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,209,109,465,742 is 31440513720.
Find LCM of 760,209,109,465,742 with Prime Factorization
| 2 | 760, 209, 109, 465, 742 |
| 5 | 380, 209, 109, 465, 371 |
| 19 | 76, 209, 109, 93, 371 |
| 4, 11, 109, 93, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 4 x 11 x 109 x 93 x 371 = 31440513720
Therefore, the lowest common multiple of 760,209,109,465,742 is 31440513720.
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.
760 x 209 x 109 x 465 x 742 = 5973697606800
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
209 : 1, 11, 19, 209
109 : 1, 109
465 : 1, 3, 5, 15, 31, 93, 155, 465
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,209,109,465,742, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
209:11x 19
109:109
465:3x 5x 31
742:2x 7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19 = 190
Therefore, the value for common factors is 190.
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 = 5973697606800/(1x190)
LCM = 5973697606800/190
LCM = 31440513720
Thus, we can understand that the LCM of 760,209,109,465,742 is 31440513720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 760, 209, 109, 465, 742
1. What is the LCM of 760, 209, 109, 465, 742?
Answer: LCM of 760, 209, 109, 465, 742 is 31440513720.
2. How to calculate the LCM of 760, 209, 109, 465, 742?
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 760, 209, 109, 465, 742.
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}.