LCM of 744, 507, 465, 214, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 507, 465, 214, 586 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 744, 507, 465, 214, 586. So, keep reading to learn more.
Given numbers are 744,507,465,214,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,507,465,214,586 is 19709746680.
Find LCM of 744,507,465,214,586 with Prime Factorization
| 2 | 744, 507, 465, 214, 586 |
| 3 | 372, 507, 465, 107, 293 |
| 31 | 124, 169, 155, 107, 293 |
| 4, 169, 5, 107, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 4 x 169 x 5 x 107 x 293 = 19709746680
Therefore, the lowest common multiple of 744,507,465,214,586 is 19709746680.
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.
744 x 507 x 465 x 214 x 586 = 21996077294880
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
507 : 1, 3, 13, 39, 169, 507
465 : 1, 3, 5, 15, 31, 93, 155, 465
214 : 1, 2, 107, 214
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,507,465,214,586, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
507:3x 13x 13
465:3x 5x 31
214:2x 107
586:2x 293
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 3x 3x 31 = 1116
Therefore, the value for common factors is 1116.
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 = 21996077294880/(1x1116)
LCM = 21996077294880/1116
LCM = 19709746680
Thus, we can understand that the LCM of 744,507,465,214,586 is 19709746680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 744, 507, 465, 214, 586
1. What is the LCM of 744, 507, 465, 214, 586?
Answer: LCM of 744, 507, 465, 214, 586 is 19709746680.
2. How to calculate the LCM of 744, 507, 465, 214, 586?
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 744, 507, 465, 214, 586.
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}.