LCM of 770, 902, 533, 195, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 902, 533, 195, 589 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 770, 902, 533, 195, 589. So, keep reading to learn more.
Given numbers are 770,902,533,195,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,902,533,195,589 is 725194470.
Find LCM of 770,902,533,195,589 with Prime Factorization
| 2 | 770, 902, 533, 195, 589 |
| 5 | 385, 451, 533, 195, 589 |
| 11 | 77, 451, 533, 39, 589 |
| 13 | 7, 41, 533, 39, 589 |
| 41 | 7, 41, 41, 3, 589 |
| 7, 1, 1, 3, 589 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 41 x 7 x 1 x 1 x 3 x 589 = 725194470
Therefore, the lowest common multiple of 770,902,533,195,589 is 725194470.
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.
770 x 902 x 533 x 195 x 589 = 42518151776100
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
902 : 1, 2, 11, 22, 41, 82, 451, 902
533 : 1, 13, 41, 533
195 : 1, 3, 5, 13, 15, 39, 65, 195
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,902,533,195,589, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
902:2x 11x 41
533:13x 41
195:3x 5x 13
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 13x 41 = 58630
Therefore, the value for common factors is 58630.
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 = 42518151776100/(1x58630)
LCM = 42518151776100/58630
LCM = 725194470
Thus, we can understand that the LCM of 770,902,533,195,589 is 725194470.
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FAQs on LCM of 770, 902, 533, 195, 589
1. What is the LCM of 770, 902, 533, 195, 589?
Answer: LCM of 770, 902, 533, 195, 589 is 725194470.
2. How to calculate the LCM of 770, 902, 533, 195, 589?
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 770, 902, 533, 195, 589.
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}.