LCM of 293, 372, 663, 617, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 372, 663, 617, 169 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, 372, 663, 617, 169. So, keep reading to learn more.
Given numbers are 293,372,663,617,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,372,663,617,169 is 193210778436.
Find LCM of 293,372,663,617,169 with Prime Factorization
| 3 | 293, 372, 663, 617, 169 |
| 13 | 293, 124, 221, 617, 169 |
| 293, 124, 17, 617, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 293 x 124 x 17 x 617 x 13 = 193210778436
Therefore, the lowest common multiple of 293,372,663,617,169 is 193210778436.
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 372 x 663 x 617 x 169 = 7535220359004
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
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
663 : 1, 3, 13, 17, 39, 51, 221, 663
617 : 1, 617
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,372,663,617,169, is 1.
Now, the common factors can be found like this.
293:293
372:2x 2x 3x 31
663:3x 13x 17
617:617
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 7535220359004/(1x39)
LCM = 7535220359004/39
LCM = 193210778436
Thus, we can understand that the LCM of 293,372,663,617,169 is 193210778436.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 293, 372, 663, 617, 169
1. What is the LCM of 293, 372, 663, 617, 169?
Answer: LCM of 293, 372, 663, 617, 169 is 193210778436.
2. How to calculate the LCM of 293, 372, 663, 617, 169?
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, 372, 663, 617, 169.
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}.