LCM of 425, 935, 506, 102, 293
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 425, 935, 506, 102, 293 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 425, 935, 506, 102, 293. So, keep reading to learn more.
Given numbers are 425,935,506,102,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 425,935,506,102,293 is 189028950.
Find LCM of 425,935,506,102,293 with Prime Factorization
| 2 | 425, 935, 506, 102, 293 |
| 5 | 425, 935, 253, 51, 293 |
| 11 | 85, 187, 253, 51, 293 |
| 17 | 85, 17, 23, 51, 293 |
| 5, 1, 23, 3, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 5 x 1 x 23 x 3 x 293 = 189028950
Therefore, the lowest common multiple of 425,935,506,102,293 is 189028950.
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.
425 x 935 x 506 x 102 x 293 = 6009230320500
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.
425 : 1, 5, 17, 25, 85, 425
935 : 1, 5, 11, 17, 55, 85, 187, 935
506 : 1, 2, 11, 22, 23, 46, 253, 506
102 : 1, 2, 3, 6, 17, 34, 51, 102
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,935,506,102,293, is 1.
Now, the common factors can be found like this.
425:5x 5x 17
935:5x 11x 17
506:2x 11x 23
102:2x 3x 17
293:293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 17x 17 = 31790
Therefore, the value for common factors is 31790.
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 = 6009230320500/(1x31790)
LCM = 6009230320500/31790
LCM = 189028950
Thus, we can understand that the LCM of 425,935,506,102,293 is 189028950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 425, 935, 506, 102, 293
1. What is the LCM of 425, 935, 506, 102, 293?
Answer: LCM of 425, 935, 506, 102, 293 is 189028950.
2. How to calculate the LCM of 425, 935, 506, 102, 293?
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 425, 935, 506, 102, 293.
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}.