LCM of 943, 549, 366, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 549, 366, 535 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 943, 549, 366, 535. So, keep reading to learn more.
Given numbers are 943,549,366,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,549,366,535 is 553946490.
Find LCM of 943,549,366,535 with Prime Factorization
| 3 | 943, 549, 366, 535 |
| 61 | 943, 183, 122, 535 |
| 943, 3, 2, 535 |
Multiply the prime numbers at the bottom and the left side.
3 x 61 x 943 x 3 x 2 x 535 = 553946490
Therefore, the lowest common multiple of 943,549,366,535 is 553946490.
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.
943 x 549 x 366 x 535 = 101372207670
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.
943 : 1, 23, 41, 943
549 : 1, 3, 9, 61, 183, 549
366 : 1, 2, 3, 6, 61, 122, 183, 366
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,549,366,535, is 1.
Now, the common factors can be found like this.
943:23x 41
549:3x 3x 61
366:2x 3x 61
535:5x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 61 = 183
Therefore, the value for common factors is 183.
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 = 101372207670/(1x183)
LCM = 101372207670/183
LCM = 553946490
Thus, we can understand that the LCM of 943,549,366,535 is 553946490.
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FAQs on LCM of 943, 549, 366, 535
1. What is the LCM of 943, 549, 366, 535?
Answer: LCM of 943, 549, 366, 535 is 553946490.
2. How to calculate the LCM of 943, 549, 366, 535?
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 943, 549, 366, 535.
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}.