LCM of 719, 361, 442, 748, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 361, 442, 748, 786 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 719, 361, 442, 748, 786. So, keep reading to learn more.
Given numbers are 719,361,442,748,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,361,442,748,786 is 991913024388.
Find LCM of 719,361,442,748,786 with Prime Factorization
| 2 | 719, 361, 442, 748, 786 |
| 17 | 719, 361, 221, 374, 393 |
| 719, 361, 13, 22, 393 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 719 x 361 x 13 x 22 x 393 = 991913024388
Therefore, the lowest common multiple of 719,361,442,748,786 is 991913024388.
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.
719 x 361 x 442 x 748 x 786 = 67450085658384
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.
719 : 1, 719
361 : 1, 19, 361
442 : 1, 2, 13, 17, 26, 34, 221, 442
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,361,442,748,786, is 1.
Now, the common factors can be found like this.
719:719
361:19x 19
442:2x 13x 17
748:2x 2x 11x 17
786:2x 3x 131
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 17 = 68
Therefore, the value for common factors is 68.
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 = 67450085658384/(1x68)
LCM = 67450085658384/68
LCM = 991913024388
Thus, we can understand that the LCM of 719,361,442,748,786 is 991913024388.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 719, 361, 442, 748, 786
1. What is the LCM of 719, 361, 442, 748, 786?
Answer: LCM of 719, 361, 442, 748, 786 is 991913024388.
2. How to calculate the LCM of 719, 361, 442, 748, 786?
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 719, 361, 442, 748, 786.
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}.