LCM of 402, 349, 377, 132, 452
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 402, 349, 377, 132, 452 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 402, 349, 377, 132, 452. So, keep reading to learn more.
Given numbers are 402,349,377,132,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,349,377,132,452 is 131490372156.
Find LCM of 402,349,377,132,452 with Prime Factorization
| 2 | 402, 349, 377, 132, 452 |
| 2 | 201, 349, 377, 66, 226 |
| 3 | 201, 349, 377, 33, 113 |
| 67, 349, 377, 11, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 349 x 377 x 11 x 113 = 131490372156
Therefore, the lowest common multiple of 402,349,377,132,452 is 131490372156.
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.
402 x 349 x 377 x 132 x 452 = 3155768931744
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
349 : 1, 349
377 : 1, 13, 29, 377
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,349,377,132,452, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
349:349
377:13x 29
132:2x 2x 3x 11
452:2x 2x 113
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 3 = 24
Therefore, the value for common factors is 24.
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 = 3155768931744/(1x24)
LCM = 3155768931744/24
LCM = 131490372156
Thus, we can understand that the LCM of 402,349,377,132,452 is 131490372156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 402, 349, 377, 132, 452
1. What is the LCM of 402, 349, 377, 132, 452?
Answer: LCM of 402, 349, 377, 132, 452 is 131490372156.
2. How to calculate the LCM of 402, 349, 377, 132, 452?
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 402, 349, 377, 132, 452.
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}.