LCM of 468, 988, 478, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 988, 478, 357 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 468, 988, 478, 357. So, keep reading to learn more.
Given numbers are 468,988,478,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,988,478,357 is 252897372.
Find LCM of 468,988,478,357 with Prime Factorization
| 2 | 468, 988, 478, 357 |
| 2 | 234, 494, 239, 357 |
| 3 | 117, 247, 239, 357 |
| 13 | 39, 247, 239, 119 |
| 3, 19, 239, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 3 x 19 x 239 x 119 = 252897372
Therefore, the lowest common multiple of 468,988,478,357 is 252897372.
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.
468 x 988 x 478 x 357 = 78903980064
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
478 : 1, 2, 239, 478
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,988,478,357, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
988:2x 2x 13x 19
478:2x 239
357:3x 7x 17
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 78903980064/(1x312)
LCM = 78903980064/312
LCM = 252897372
Thus, we can understand that the LCM of 468,988,478,357 is 252897372.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 468, 988, 478, 357
1. What is the LCM of 468, 988, 478, 357?
Answer: LCM of 468, 988, 478, 357 is 252897372.
2. How to calculate the LCM of 468, 988, 478, 357?
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 468, 988, 478, 357.
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}.