LCM of 632, 638, 391, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 632, 638, 391, 782 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 632, 638, 391, 782. So, keep reading to learn more.
Given numbers are 632,638,391,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,638,391,782 is 78828728.
Find LCM of 632,638,391,782 with Prime Factorization
| 2 | 632, 638, 391, 782 |
| 17 | 316, 319, 391, 391 |
| 23 | 316, 319, 23, 23 |
| 316, 319, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 316 x 319 x 1 x 1 = 78828728
Therefore, the lowest common multiple of 632,638,391,782 is 78828728.
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.
632 x 638 x 391 x 782 = 123288130592
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
638 : 1, 2, 11, 22, 29, 58, 319, 638
391 : 1, 17, 23, 391
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,638,391,782, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
638:2x 11x 29
391:17x 23
782:2x 17x 23
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 17x 23 = 1564
Therefore, the value for common factors is 1564.
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 = 123288130592/(1x1564)
LCM = 123288130592/1564
LCM = 78828728
Thus, we can understand that the LCM of 632,638,391,782 is 78828728.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 632, 638, 391, 782
1. What is the LCM of 632, 638, 391, 782?
Answer: LCM of 632, 638, 391, 782 is 78828728.
2. How to calculate the LCM of 632, 638, 391, 782?
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 632, 638, 391, 782.
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}.