LCM of 634, 119, 946, 458, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 119, 946, 458, 657 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 634, 119, 946, 458, 657. So, keep reading to learn more.
Given numbers are 634,119,946,458,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,119,946,458,657 is 5369059438974.
Find LCM of 634,119,946,458,657 with Prime Factorization
| 2 | 634, 119, 946, 458, 657 |
| 317, 119, 473, 229, 657 |
Multiply the prime numbers at the bottom and the left side.
2 x 317 x 119 x 473 x 229 x 657 = 5369059438974
Therefore, the lowest common multiple of 634,119,946,458,657 is 5369059438974.
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.
634 x 119 x 946 x 458 x 657 = 21476237755896
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.
634 : 1, 2, 317, 634
119 : 1, 7, 17, 119
946 : 1, 2, 11, 22, 43, 86, 473, 946
458 : 1, 2, 229, 458
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,119,946,458,657, is 1.
Now, the common factors can be found like this.
634:2x 317
119:7x 17
946:2x 11x 43
458:2x 229
657:3x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 21476237755896/(1x4)
LCM = 21476237755896/4
LCM = 5369059438974
Thus, we can understand that the LCM of 634,119,946,458,657 is 5369059438974.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 634, 119, 946, 458, 657
1. What is the LCM of 634, 119, 946, 458, 657?
Answer: LCM of 634, 119, 946, 458, 657 is 5369059438974.
2. How to calculate the LCM of 634, 119, 946, 458, 657?
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 634, 119, 946, 458, 657.
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}.