Find the LCM of 532, 943, 731, 272, 691 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 532, 943, 731, 272, 691. So, keep reading to learn more.
Given numbers are 532,943,731,272,691
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,943,731,272,691 is 1013628331184.
Find LCM of 532,943,731,272,691 with Prime Factorization
2 | 532, 943, 731, 272, 691 |
2 | 266, 943, 731, 136, 691 |
17 | 133, 943, 731, 68, 691 |
133, 943, 43, 4, 691 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 133 x 943 x 43 x 4 x 691 = 1013628331184
Therefore, the lowest common multiple of 532,943,731,272,691 is 1013628331184.
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.
532 x 943 x 731 x 272 x 691 = 68926726520512
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
943 : 1, 23, 41, 943
731 : 1, 17, 43, 731
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
691 : 1, 691
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,943,731,272,691, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
943:23x 41
731:17x 43
272:2x 2x 2x 2x 17
691:691
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 17 = 68
Therefore, the value for common factors is 68.
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 = 68926726520512/(1x68)
LCM = 68926726520512/68
LCM = 1013628331184
Thus, we can understand that the LCM of 532,943,731,272,691 is 1013628331184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 532, 943, 731, 272, 691?
Answer: LCM of 532, 943, 731, 272, 691 is 1013628331184.
2. How to calculate the LCM of 532, 943, 731, 272, 691?
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 532, 943, 731, 272, 691.
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}.