LCM of 676, 270, 902, 160, 937
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 270, 902, 160, 937 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 676, 270, 902, 160, 937. So, keep reading to learn more.
Given numbers are 676,270,902,160,937
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,270,902,160,937 is 308522316960.
Find LCM of 676,270,902,160,937 with Prime Factorization
| 2 | 676, 270, 902, 160, 937 |
| 2 | 338, 135, 451, 80, 937 |
| 5 | 169, 135, 451, 40, 937 |
| 169, 27, 451, 8, 937 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 169 x 27 x 451 x 8 x 937 = 308522316960
Therefore, the lowest common multiple of 676,270,902,160,937 is 308522316960.
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.
676 x 270 x 902 x 160 x 937 = 24681785356800
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
902 : 1, 2, 11, 22, 41, 82, 451, 902
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
937 : 1, 937
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,270,902,160,937, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
270:2x 3x 3x 3x 5
902:2x 11x 41
160:2x 2x 2x 2x 2x 5
937:937
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 5 = 80
Therefore, the value for common factors is 80.
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 = 24681785356800/(1x80)
LCM = 24681785356800/80
LCM = 308522316960
Thus, we can understand that the LCM of 676,270,902,160,937 is 308522316960.
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FAQs on LCM of 676, 270, 902, 160, 937
1. What is the LCM of 676, 270, 902, 160, 937?
Answer: LCM of 676, 270, 902, 160, 937 is 308522316960.
2. How to calculate the LCM of 676, 270, 902, 160, 937?
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 676, 270, 902, 160, 937.
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}.