LCM of 493, 767, 663, 293
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 767, 663, 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 493, 767, 663, 293. So, keep reading to learn more.
Given numbers are 493,767,663,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,767,663,293 is 332377149.
Find LCM of 493,767,663,293 with Prime Factorization
| 13 | 493, 767, 663, 293 |
| 17 | 493, 59, 51, 293 |
| 29, 59, 3, 293 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 29 x 59 x 3 x 293 = 332377149
Therefore, the lowest common multiple of 493,767,663,293 is 332377149.
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.
493 x 767 x 663 x 293 = 73455349929
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.
493 : 1, 17, 29, 493
767 : 1, 13, 59, 767
663 : 1, 3, 13, 17, 39, 51, 221, 663
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,767,663,293, is 1.
Now, the common factors can be found like this.
493:17x 29
767:13x 59
663:3x 13x 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.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 73455349929/(1x221)
LCM = 73455349929/221
LCM = 332377149
Thus, we can understand that the LCM of 493,767,663,293 is 332377149.
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FAQs on LCM of 493, 767, 663, 293
1. What is the LCM of 493, 767, 663, 293?
Answer: LCM of 493, 767, 663, 293 is 332377149.
2. How to calculate the LCM of 493, 767, 663, 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 493, 767, 663, 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}.