LCM of 106, 902, 533, 673, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 902, 533, 673, 329 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 106, 902, 533, 673, 329. So, keep reading to learn more.
Given numbers are 106,902,533,673,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,902,533,673,329 is 137605794326.
Find LCM of 106,902,533,673,329 with Prime Factorization
| 2 | 106, 902, 533, 673, 329 |
| 41 | 53, 451, 533, 673, 329 |
| 53, 11, 13, 673, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 53 x 11 x 13 x 673 x 329 = 137605794326
Therefore, the lowest common multiple of 106,902,533,673,329 is 137605794326.
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.
106 x 902 x 533 x 673 x 329 = 11283675134732
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.
106 : 1, 2, 53, 106
902 : 1, 2, 11, 22, 41, 82, 451, 902
533 : 1, 13, 41, 533
673 : 1, 673
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,902,533,673,329, is 1.
Now, the common factors can be found like this.
106:2x 53
902:2x 11x 41
533:13x 41
673:673
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 41 = 82
Therefore, the value for common factors is 82.
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 = 11283675134732/(1x82)
LCM = 11283675134732/82
LCM = 137605794326
Thus, we can understand that the LCM of 106,902,533,673,329 is 137605794326.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 106, 902, 533, 673, 329
1. What is the LCM of 106, 902, 533, 673, 329?
Answer: LCM of 106, 902, 533, 673, 329 is 137605794326.
2. How to calculate the LCM of 106, 902, 533, 673, 329?
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 106, 902, 533, 673, 329.
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}.