LCM of 649, 465, 590, 770, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 465, 590, 770, 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 649, 465, 590, 770, 771. So, keep reading to learn more.
Given numbers are 649,465,590,770,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,465,590,770,771 is 1085822430.
Find LCM of 649,465,590,770,771 with Prime Factorization
| 2 | 649, 465, 590, 770, 771 |
| 3 | 649, 465, 295, 385, 771 |
| 5 | 649, 155, 295, 385, 257 |
| 11 | 649, 31, 59, 77, 257 |
| 59 | 59, 31, 59, 7, 257 |
| 1, 31, 1, 7, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 59 x 1 x 31 x 1 x 7 x 257 = 1085822430
Therefore, the lowest common multiple of 649,465,590,770,771 is 1085822430.
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.
649 x 465 x 590 x 770 x 771 = 105704813560500
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.
649 : 1, 11, 59, 649
465 : 1, 3, 5, 15, 31, 93, 155, 465
590 : 1, 2, 5, 10, 59, 118, 295, 590
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,465,590,770,771, is 1.
Now, the common factors can be found like this.
649:11x 59
465:3x 5x 31
590:2x 5x 59
770:2x 5x 7x 11
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 5x 5x 11x 59 = 97350
Therefore, the value for common factors is 97350.
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 = 105704813560500/(1x97350)
LCM = 105704813560500/97350
LCM = 1085822430
Thus, we can understand that the LCM of 649,465,590,770,771 is 1085822430.
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FAQs on LCM of 649, 465, 590, 770, 771
1. What is the LCM of 649, 465, 590, 770, 771?
Answer: LCM of 649, 465, 590, 770, 771 is 1085822430.
2. How to calculate the LCM of 649, 465, 590, 770, 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 649, 465, 590, 770, 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}.