LCM of 100, 425, 377, 351, 291
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 100, 425, 377, 351, 291 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 100, 425, 377, 351, 291. So, keep reading to learn more.
Given numbers are 100,425,377,351,291
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,425,377,351,291 is 1678517100.
Find LCM of 100,425,377,351,291 with Prime Factorization
| 3 | 100, 425, 377, 351, 291 |
| 5 | 100, 425, 377, 117, 97 |
| 5 | 20, 85, 377, 117, 97 |
| 13 | 4, 17, 377, 117, 97 |
| 4, 17, 29, 9, 97 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 13 x 4 x 17 x 29 x 9 x 97 = 1678517100
Therefore, the lowest common multiple of 100,425,377,351,291 is 1678517100.
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.
100 x 425 x 377 x 351 x 291 = 1636554172500
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
425 : 1, 5, 17, 25, 85, 425
377 : 1, 13, 29, 377
351 : 1, 3, 9, 13, 27, 39, 117, 351
291 : 1, 3, 97, 291
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,425,377,351,291, is 1.
Now, the common factors can be found like this.
100:2x 2x 5x 5
425:5x 5x 17
377:13x 29
351:3x 3x 3x 13
291:3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 13 = 975
Therefore, the value for common factors is 975.
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 = 1636554172500/(1x975)
LCM = 1636554172500/975
LCM = 1678517100
Thus, we can understand that the LCM of 100,425,377,351,291 is 1678517100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 100, 425, 377, 351, 291
1. What is the LCM of 100, 425, 377, 351, 291?
Answer: LCM of 100, 425, 377, 351, 291 is 1678517100.
2. How to calculate the LCM of 100, 425, 377, 351, 291?
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 100, 425, 377, 351, 291.
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}.