LCM of 746, 698, 471, 314, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 698, 471, 314, 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 746, 698, 471, 314, 779. So, keep reading to learn more.
Given numbers are 746,698,471,314,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,698,471,314,779 is 95526225786.
Find LCM of 746,698,471,314,779 with Prime Factorization
| 2 | 746, 698, 471, 314, 779 |
| 157 | 373, 349, 471, 157, 779 |
| 373, 349, 3, 1, 779 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 373 x 349 x 3 x 1 x 779 = 95526225786
Therefore, the lowest common multiple of 746,698,471,314,779 is 95526225786.
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.
746 x 698 x 471 x 314 x 779 = 59990469793608
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.
746 : 1, 2, 373, 746
698 : 1, 2, 349, 698
471 : 1, 3, 157, 471
314 : 1, 2, 157, 314
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,698,471,314,779, is 1.
Now, the common factors can be found like this.
746:2x 373
698:2x 349
471:3x 157
314:2x 157
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 157 = 628
Therefore, the value for common factors is 628.
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 = 59990469793608/(1x628)
LCM = 59990469793608/628
LCM = 95526225786
Thus, we can understand that the LCM of 746,698,471,314,779 is 95526225786.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 698, 471, 314, 779
1. What is the LCM of 746, 698, 471, 314, 779?
Answer: LCM of 746, 698, 471, 314, 779 is 95526225786.
2. How to calculate the LCM of 746, 698, 471, 314, 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 746, 698, 471, 314, 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}.