LCM of 377, 312, 722, 464, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 312, 722, 464, 580 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 377, 312, 722, 464, 580. So, keep reading to learn more.
Given numbers are 377,312,722,464,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,312,722,464,580 is 32663280.
Find LCM of 377,312,722,464,580 with Prime Factorization
| 2 | 377, 312, 722, 464, 580 |
| 2 | 377, 156, 361, 232, 290 |
| 2 | 377, 78, 361, 116, 145 |
| 13 | 377, 39, 361, 58, 145 |
| 29 | 29, 3, 361, 58, 145 |
| 1, 3, 361, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 29 x 1 x 3 x 361 x 2 x 5 = 32663280
Therefore, the lowest common multiple of 377,312,722,464,580 is 32663280.
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.
377 x 312 x 722 x 464 x 580 = 22854888975360
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.
377 : 1, 13, 29, 377
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
722 : 1, 2, 19, 38, 361, 722
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,312,722,464,580, is 1.
Now, the common factors can be found like this.
377:13x 29
312:2x 2x 2x 3x 13
722:2x 19x 19
464:2x 2x 2x 2x 29
580:2x 2x 5x 29
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 2x 2x 2x 2x 13x 29x 29 = 699712
Therefore, the value for common factors is 699712.
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 = 22854888975360/(1x699712)
LCM = 22854888975360/699712
LCM = 32663280
Thus, we can understand that the LCM of 377,312,722,464,580 is 32663280.
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FAQs on LCM of 377, 312, 722, 464, 580
1. What is the LCM of 377, 312, 722, 464, 580?
Answer: LCM of 377, 312, 722, 464, 580 is 32663280.
2. How to calculate the LCM of 377, 312, 722, 464, 580?
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 377, 312, 722, 464, 580.
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}.