LCM of 804, 608, 902, 671, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 608, 902, 671, 918 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 804, 608, 902, 671, 918. So, keep reading to learn more.
Given numbers are 804,608,902,671,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,608,902,671,918 is 514395836064.
Find LCM of 804,608,902,671,918 with Prime Factorization
| 2 | 804, 608, 902, 671, 918 |
| 2 | 402, 304, 451, 671, 459 |
| 3 | 201, 152, 451, 671, 459 |
| 11 | 67, 152, 451, 671, 153 |
| 67, 152, 41, 61, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 67 x 152 x 41 x 61 x 153 = 514395836064
Therefore, the lowest common multiple of 804,608,902,671,918 is 514395836064.
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.
804 x 608 x 902 x 671 x 918 = 271601001441792
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
902 : 1, 2, 11, 22, 41, 82, 451, 902
671 : 1, 11, 61, 671
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,608,902,671,918, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
608:2x 2x 2x 2x 2x 19
902:2x 11x 41
671:11x 61
918:2x 3x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 271601001441792/(1x528)
LCM = 271601001441792/528
LCM = 514395836064
Thus, we can understand that the LCM of 804,608,902,671,918 is 514395836064.
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FAQs on LCM of 804, 608, 902, 671, 918
1. What is the LCM of 804, 608, 902, 671, 918?
Answer: LCM of 804, 608, 902, 671, 918 is 514395836064.
2. How to calculate the LCM of 804, 608, 902, 671, 918?
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 804, 608, 902, 671, 918.
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}.