LCM of 293, 781, 692, 209, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 781, 692, 209, 538 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 293, 781, 692, 209, 538. So, keep reading to learn more.
Given numbers are 293,781,692,209,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,781,692,209,538 is 809339300396.
Find LCM of 293,781,692,209,538 with Prime Factorization
| 2 | 293, 781, 692, 209, 538 |
| 11 | 293, 781, 346, 209, 269 |
| 293, 71, 346, 19, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 293 x 71 x 346 x 19 x 269 = 809339300396
Therefore, the lowest common multiple of 293,781,692,209,538 is 809339300396.
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.
293 x 781 x 692 x 209 x 538 = 17805464608712
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.
293 : 1, 293
781 : 1, 11, 71, 781
692 : 1, 2, 4, 173, 346, 692
209 : 1, 11, 19, 209
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,781,692,209,538, is 1.
Now, the common factors can be found like this.
293:293
781:11x 71
692:2x 2x 173
209:11x 19
538:2x 269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 17805464608712/(1x22)
LCM = 17805464608712/22
LCM = 809339300396
Thus, we can understand that the LCM of 293,781,692,209,538 is 809339300396.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 293, 781, 692, 209, 538
1. What is the LCM of 293, 781, 692, 209, 538?
Answer: LCM of 293, 781, 692, 209, 538 is 809339300396.
2. How to calculate the LCM of 293, 781, 692, 209, 538?
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 293, 781, 692, 209, 538.
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}.