LCM of 402, 638, 667, 428, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 402, 638, 667, 428, 133 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, 638, 667, 428, 133. So, keep reading to learn more.
Given numbers are 402,638,667,428,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,638,667,428,133 is 83947928988.
Find LCM of 402,638,667,428,133 with Prime Factorization
| 2 | 402, 638, 667, 428, 133 |
| 29 | 201, 319, 667, 214, 133 |
| 201, 11, 23, 214, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 201 x 11 x 23 x 214 x 133 = 83947928988
Therefore, the lowest common multiple of 402,638,667,428,133 is 83947928988.
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 638 x 667 x 428 x 133 = 9737959762608
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
638 : 1, 2, 11, 22, 29, 58, 319, 638
667 : 1, 23, 29, 667
428 : 1, 2, 4, 107, 214, 428
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,638,667,428,133, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
638:2x 11x 29
667:23x 29
428:2x 2x 107
133:7x 19
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 29 = 116
Therefore, the value for common factors is 116.
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 = 9737959762608/(1x116)
LCM = 9737959762608/116
LCM = 83947928988
Thus, we can understand that the LCM of 402,638,667,428,133 is 83947928988.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 402, 638, 667, 428, 133
1. What is the LCM of 402, 638, 667, 428, 133?
Answer: LCM of 402, 638, 667, 428, 133 is 83947928988.
2. How to calculate the LCM of 402, 638, 667, 428, 133?
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, 638, 667, 428, 133.
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}.