LCM of 563, 764, 253, 191, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 764, 253, 191, 782 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 563, 764, 253, 191, 782. So, keep reading to learn more.
Given numbers are 563,764,253,191,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,764,253,191,782 is 1849997732.
Find LCM of 563,764,253,191,782 with Prime Factorization
| 2 | 563, 764, 253, 191, 782 |
| 23 | 563, 382, 253, 191, 391 |
| 191 | 563, 382, 11, 191, 17 |
| 563, 2, 11, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 191 x 563 x 2 x 11 x 1 x 17 = 1849997732
Therefore, the lowest common multiple of 563,764,253,191,782 is 1849997732.
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.
563 x 764 x 253 x 191 x 782 = 16254080073352
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.
563 : 1, 563
764 : 1, 2, 4, 191, 382, 764
253 : 1, 11, 23, 253
191 : 1, 191
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,764,253,191,782, is 1.
Now, the common factors can be found like this.
563:563
764:2x 2x 191
253:11x 23
191:191
782:2x 17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 191 = 8786
Therefore, the value for common factors is 8786.
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 = 16254080073352/(1x8786)
LCM = 16254080073352/8786
LCM = 1849997732
Thus, we can understand that the LCM of 563,764,253,191,782 is 1849997732.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 563, 764, 253, 191, 782
1. What is the LCM of 563, 764, 253, 191, 782?
Answer: LCM of 563, 764, 253, 191, 782 is 1849997732.
2. How to calculate the LCM of 563, 764, 253, 191, 782?
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 563, 764, 253, 191, 782.
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}.