LCM of 335, 902, 521, 640, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 335, 902, 521, 640, 132 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 335, 902, 521, 640, 132. So, keep reading to learn more.
Given numbers are 335,902,521,640,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,902,521,640,132 is 30226669440.
Find LCM of 335,902,521,640,132 with Prime Factorization
| 2 | 335, 902, 521, 640, 132 |
| 2 | 335, 451, 521, 320, 66 |
| 5 | 335, 451, 521, 160, 33 |
| 11 | 67, 451, 521, 32, 33 |
| 67, 41, 521, 32, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 67 x 41 x 521 x 32 x 3 = 30226669440
Therefore, the lowest common multiple of 335,902,521,640,132 is 30226669440.
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.
335 x 902 x 521 x 640 x 132 = 13299734553600
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.
335 : 1, 5, 67, 335
902 : 1, 2, 11, 22, 41, 82, 451, 902
521 : 1, 521
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,902,521,640,132, is 1.
Now, the common factors can be found like this.
335:5x 67
902:2x 11x 41
521:521
640:2x 2x 2x 2x 2x 2x 2x 5
132:2x 2x 3x 11
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 13299734553600/(1x440)
LCM = 13299734553600/440
LCM = 30226669440
Thus, we can understand that the LCM of 335,902,521,640,132 is 30226669440.
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FAQs on LCM of 335, 902, 521, 640, 132
1. What is the LCM of 335, 902, 521, 640, 132?
Answer: LCM of 335, 902, 521, 640, 132 is 30226669440.
2. How to calculate the LCM of 335, 902, 521, 640, 132?
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 335, 902, 521, 640, 132.
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}.