LCM of 650, 807, 985, 541, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 807, 985, 541, 591 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 650, 807, 985, 541, 591. So, keep reading to learn more.
Given numbers are 650,807,985,541,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,807,985,541,591 is 55904965350.
Find LCM of 650,807,985,541,591 with Prime Factorization
| 3 | 650, 807, 985, 541, 591 |
| 5 | 650, 269, 985, 541, 197 |
| 197 | 130, 269, 197, 541, 197 |
| 130, 269, 1, 541, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 197 x 130 x 269 x 1 x 541 x 1 = 55904965350
Therefore, the lowest common multiple of 650,807,985,541,591 is 55904965350.
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.
650 x 807 x 985 x 541 x 591 = 165199172609250
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
807 : 1, 3, 269, 807
985 : 1, 5, 197, 985
541 : 1, 541
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,807,985,541,591, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
807:3x 269
985:5x 197
541:541
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 197 = 2955
Therefore, the value for common factors is 2955.
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 = 165199172609250/(1x2955)
LCM = 165199172609250/2955
LCM = 55904965350
Thus, we can understand that the LCM of 650,807,985,541,591 is 55904965350.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 650, 807, 985, 541, 591
1. What is the LCM of 650, 807, 985, 541, 591?
Answer: LCM of 650, 807, 985, 541, 591 is 55904965350.
2. How to calculate the LCM of 650, 807, 985, 541, 591?
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 650, 807, 985, 541, 591.
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}.