Find the LCM of 493, 342, 257, 887, 987 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, 342, 257, 887, 987. So, keep reading to learn more.
Given numbers are 493,342,257,887,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,342,257,887,987 is 12645198945666.
Find LCM of 493,342,257,887,987 with Prime Factorization
3 | 493, 342, 257, 887, 987 |
493, 114, 257, 887, 329 |
Multiply the prime numbers at the bottom and the left side.
3 x 493 x 114 x 257 x 887 x 329 = 12645198945666
Therefore, the lowest common multiple of 493,342,257,887,987 is 12645198945666.
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 342 x 257 x 887 x 987 = 37935596836998
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
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
257 : 1, 257
887 : 1, 887
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,342,257,887,987, is 1.
Now, the common factors can be found like this.
493:17x 29
342:2x 3x 3x 19
257:257
887:887
987:3x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 37935596836998/(1x3)
LCM = 37935596836998/3
LCM = 12645198945666
Thus, we can understand that the LCM of 493,342,257,887,987 is 12645198945666.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 342, 257, 887, 987?
Answer: LCM of 493, 342, 257, 887, 987 is 12645198945666.
2. How to calculate the LCM of 493, 342, 257, 887, 987?
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, 342, 257, 887, 987.
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}.