LCM of 493, 292, 292, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 292, 292, 893 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, 292, 292, 893. So, keep reading to learn more.
Given numbers are 493,292,292,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,292,292,893 is 128552708.
Find LCM of 493,292,292,893 with Prime Factorization
| 2 | 493, 292, 292, 893 |
| 2 | 493, 146, 146, 893 |
| 73 | 493, 73, 73, 893 |
| 493, 1, 1, 893 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 73 x 493 x 1 x 1 x 893 = 128552708
Therefore, the lowest common multiple of 493,292,292,893 is 128552708.
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 292 x 292 x 893 = 37537390736
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
292 : 1, 2, 4, 73, 146, 292
292 : 1, 2, 4, 73, 146, 292
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,292,292,893, is 1.
Now, the common factors can be found like this.
493:17x 29
292:2x 2x 73
292:2x 2x 73
893:19x 47
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 73 = 292
Therefore, the value for common factors is 292.
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 = 37537390736/(1x292)
LCM = 37537390736/292
LCM = 128552708
Thus, we can understand that the LCM of 493,292,292,893 is 128552708.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 292, 292, 893
1. What is the LCM of 493, 292, 292, 893?
Answer: LCM of 493, 292, 292, 893 is 128552708.
2. How to calculate the LCM of 493, 292, 292, 893?
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, 292, 292, 893.
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}.