LCM of 377, 143, 109, 327, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 143, 109, 327, 528 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 377, 143, 109, 327, 528. So, keep reading to learn more.
Given numbers are 377,143,109,327,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,143,109,327,528 is 21697104.
Find LCM of 377,143,109,327,528 with Prime Factorization
| 3 | 377, 143, 109, 327, 528 |
| 11 | 377, 143, 109, 109, 176 |
| 13 | 377, 13, 109, 109, 16 |
| 109 | 29, 1, 109, 109, 16 |
| 29, 1, 1, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 109 x 29 x 1 x 1 x 1 x 16 = 21697104
Therefore, the lowest common multiple of 377,143,109,327,528 is 21697104.
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.
377 x 143 x 109 x 327 x 528 = 1014578280144
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.
377 : 1, 13, 29, 377
143 : 1, 11, 13, 143
109 : 1, 109
327 : 1, 3, 109, 327
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,143,109,327,528, is 1.
Now, the common factors can be found like this.
377:13x 29
143:11x 13
109:109
327:3x 109
528:2x 2x 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.
3x 11x 13x 109 = 46761
Therefore, the value for common factors is 46761.
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 = 1014578280144/(1x46761)
LCM = 1014578280144/46761
LCM = 21697104
Thus, we can understand that the LCM of 377,143,109,327,528 is 21697104.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 377, 143, 109, 327, 528
1. What is the LCM of 377, 143, 109, 327, 528?
Answer: LCM of 377, 143, 109, 327, 528 is 21697104.
2. How to calculate the LCM of 377, 143, 109, 327, 528?
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 377, 143, 109, 327, 528.
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}.