LCM of 778, 112, 383, 721, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 112, 383, 721, 862 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 778, 112, 383, 721, 862. So, keep reading to learn more.
Given numbers are 778,112,383,721,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,112,383,721,862 is 740765747792.
Find LCM of 778,112,383,721,862 with Prime Factorization
| 2 | 778, 112, 383, 721, 862 |
| 7 | 389, 56, 383, 721, 431 |
| 389, 8, 383, 103, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 389 x 8 x 383 x 103 x 431 = 740765747792
Therefore, the lowest common multiple of 778,112,383,721,862 is 740765747792.
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.
778 x 112 x 383 x 721 x 862 = 20741440938176
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.
778 : 1, 2, 389, 778
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
383 : 1, 383
721 : 1, 7, 103, 721
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,112,383,721,862, is 1.
Now, the common factors can be found like this.
778:2x 389
112:2x 2x 2x 2x 7
383:383
721:7x 103
862:2x 431
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 7 = 28
Therefore, the value for common factors is 28.
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 = 20741440938176/(1x28)
LCM = 20741440938176/28
LCM = 740765747792
Thus, we can understand that the LCM of 778,112,383,721,862 is 740765747792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 778, 112, 383, 721, 862
1. What is the LCM of 778, 112, 383, 721, 862?
Answer: LCM of 778, 112, 383, 721, 862 is 740765747792.
2. How to calculate the LCM of 778, 112, 383, 721, 862?
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 778, 112, 383, 721, 862.
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}.