LCM of 535, 682, 550, 400, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 682, 550, 400, 975 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 535, 682, 550, 400, 975. So, keep reading to learn more.
Given numbers are 535,682,550,400,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,682,550,400,975 is 569197200.
Find LCM of 535,682,550,400,975 with Prime Factorization
| 2 | 535, 682, 550, 400, 975 |
| 5 | 535, 341, 275, 200, 975 |
| 5 | 107, 341, 55, 40, 195 |
| 11 | 107, 341, 11, 8, 39 |
| 107, 31, 1, 8, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 11 x 107 x 31 x 1 x 8 x 39 = 569197200
Therefore, the lowest common multiple of 535,682,550,400,975 is 569197200.
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.
535 x 682 x 550 x 400 x 975 = 78264615000000
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.
535 : 1, 5, 107, 535
682 : 1, 2, 11, 22, 31, 62, 341, 682
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,682,550,400,975, is 1.
Now, the common factors can be found like this.
535:5x 107
682:2x 11x 31
550:2x 5x 5x 11
400:2x 2x 2x 2x 5x 5
975:3x 5x 5x 13
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 5x 5x 5x 5x 5x 11 = 137500
Therefore, the value for common factors is 137500.
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 = 78264615000000/(1x137500)
LCM = 78264615000000/137500
LCM = 569197200
Thus, we can understand that the LCM of 535,682,550,400,975 is 569197200.
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FAQs on LCM of 535, 682, 550, 400, 975
1. What is the LCM of 535, 682, 550, 400, 975?
Answer: LCM of 535, 682, 550, 400, 975 is 569197200.
2. How to calculate the LCM of 535, 682, 550, 400, 975?
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 535, 682, 550, 400, 975.
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}.