LCM of 491, 671, 984, 902, 124
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 671, 984, 902, 124 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 491, 671, 984, 902, 124. So, keep reading to learn more.
Given numbers are 491,671,984,902,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,671,984,902,124 is 10049878344.
Find LCM of 491,671,984,902,124 with Prime Factorization
| 2 | 491, 671, 984, 902, 124 |
| 2 | 491, 671, 492, 451, 62 |
| 11 | 491, 671, 246, 451, 31 |
| 41 | 491, 61, 246, 41, 31 |
| 491, 61, 6, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 41 x 491 x 61 x 6 x 1 x 31 = 10049878344
Therefore, the lowest common multiple of 491,671,984,902,124 is 10049878344.
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.
491 x 671 x 984 x 902 x 124 = 36259961065152
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.
491 : 1, 491
671 : 1, 11, 61, 671
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
902 : 1, 2, 11, 22, 41, 82, 451, 902
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,671,984,902,124, is 1.
Now, the common factors can be found like this.
491:491
671:11x 61
984:2x 2x 2x 3x 41
902:2x 11x 41
124:2x 2x 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 2x 2x 11x 41 = 3608
Therefore, the value for common factors is 3608.
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 = 36259961065152/(1x3608)
LCM = 36259961065152/3608
LCM = 10049878344
Thus, we can understand that the LCM of 491,671,984,902,124 is 10049878344.
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FAQs on LCM of 491, 671, 984, 902, 124
1. What is the LCM of 491, 671, 984, 902, 124?
Answer: LCM of 491, 671, 984, 902, 124 is 10049878344.
2. How to calculate the LCM of 491, 671, 984, 902, 124?
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 491, 671, 984, 902, 124.
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}.