LCM of 703, 456, 476, 193, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 456, 476, 193, 779 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 703, 456, 476, 193, 779. So, keep reading to learn more.
Given numbers are 703,456,476,193,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,456,476,193,779 is 15887468184.
Find LCM of 703,456,476,193,779 with Prime Factorization
| 2 | 703, 456, 476, 193, 779 |
| 2 | 703, 228, 238, 193, 779 |
| 19 | 703, 114, 119, 193, 779 |
| 37, 6, 119, 193, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 37 x 6 x 119 x 193 x 41 = 15887468184
Therefore, the lowest common multiple of 703,456,476,193,779 is 15887468184.
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.
703 x 456 x 476 x 193 x 779 = 22941504057696
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.
703 : 1, 19, 37, 703
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
193 : 1, 193
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,456,476,193,779, is 1.
Now, the common factors can be found like this.
703:19x 37
456:2x 2x 2x 3x 19
476:2x 2x 7x 17
193:193
779:19x 41
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 19x 19 = 1444
Therefore, the value for common factors is 1444.
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 = 22941504057696/(1x1444)
LCM = 22941504057696/1444
LCM = 15887468184
Thus, we can understand that the LCM of 703,456,476,193,779 is 15887468184.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 703, 456, 476, 193, 779
1. What is the LCM of 703, 456, 476, 193, 779?
Answer: LCM of 703, 456, 476, 193, 779 is 15887468184.
2. How to calculate the LCM of 703, 456, 476, 193, 779?
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 703, 456, 476, 193, 779.
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}.