LCM of 763, 506, 573, 644, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 506, 573, 644, 771 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 763, 506, 573, 644, 771. So, keep reading to learn more.
Given numbers are 763,506,573,644,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,506,573,644,771 is 113708464716.
Find LCM of 763,506,573,644,771 with Prime Factorization
| 2 | 763, 506, 573, 644, 771 |
| 3 | 763, 253, 573, 322, 771 |
| 7 | 763, 253, 191, 322, 257 |
| 23 | 109, 253, 191, 46, 257 |
| 109, 11, 191, 2, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 109 x 11 x 191 x 2 x 257 = 113708464716
Therefore, the lowest common multiple of 763,506,573,644,771 is 113708464716.
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.
763 x 506 x 573 x 644 x 771 = 109842376915656
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.
763 : 1, 7, 109, 763
506 : 1, 2, 11, 22, 23, 46, 253, 506
573 : 1, 3, 191, 573
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,506,573,644,771, is 1.
Now, the common factors can be found like this.
763:7x 109
506:2x 11x 23
573:3x 191
644:2x 2x 7x 23
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 23 = 966
Therefore, the value for common factors is 966.
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 = 109842376915656/(1x966)
LCM = 109842376915656/966
LCM = 113708464716
Thus, we can understand that the LCM of 763,506,573,644,771 is 113708464716.
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FAQs on LCM of 763, 506, 573, 644, 771
1. What is the LCM of 763, 506, 573, 644, 771?
Answer: LCM of 763, 506, 573, 644, 771 is 113708464716.
2. How to calculate the LCM of 763, 506, 573, 644, 771?
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 763, 506, 573, 644, 771.
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}.