LCM of 334, 781, 747, 902, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 781, 747, 902, 129 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 334, 781, 747, 902, 129. So, keep reading to learn more.
Given numbers are 334,781,747,902,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,781,747,902,129 is 343534544694.
Find LCM of 334,781,747,902,129 with Prime Factorization
| 2 | 334, 781, 747, 902, 129 |
| 3 | 167, 781, 747, 451, 129 |
| 11 | 167, 781, 249, 451, 43 |
| 167, 71, 249, 41, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 167 x 71 x 249 x 41 x 43 = 343534544694
Therefore, the lowest common multiple of 334,781,747,902,129 is 343534544694.
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.
334 x 781 x 747 x 902 x 129 = 22673279949804
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.
334 : 1, 2, 167, 334
781 : 1, 11, 71, 781
747 : 1, 3, 9, 83, 249, 747
902 : 1, 2, 11, 22, 41, 82, 451, 902
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,781,747,902,129, is 1.
Now, the common factors can be found like this.
334:2x 167
781:11x 71
747:3x 3x 83
902:2x 11x 41
129:3x 43
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 11 = 66
Therefore, the value for common factors is 66.
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 = 22673279949804/(1x66)
LCM = 22673279949804/66
LCM = 343534544694
Thus, we can understand that the LCM of 334,781,747,902,129 is 343534544694.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 334, 781, 747, 902, 129
1. What is the LCM of 334, 781, 747, 902, 129?
Answer: LCM of 334, 781, 747, 902, 129 is 343534544694.
2. How to calculate the LCM of 334, 781, 747, 902, 129?
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 334, 781, 747, 902, 129.
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}.