LCM of 377, 690, 667, 722, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 690, 667, 722, 950 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, 690, 667, 722, 950. So, keep reading to learn more.
Given numbers are 377,690,667,722,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,690,667,722,950 is 469534650.
Find LCM of 377,690,667,722,950 with Prime Factorization
| 2 | 377, 690, 667, 722, 950 |
| 5 | 377, 345, 667, 361, 475 |
| 19 | 377, 69, 667, 361, 95 |
| 23 | 377, 69, 667, 19, 5 |
| 29 | 377, 3, 29, 19, 5 |
| 13, 3, 1, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 23 x 29 x 13 x 3 x 1 x 19 x 5 = 469534650
Therefore, the lowest common multiple of 377,690,667,722,950 is 469534650.
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 690 x 667 x 722 x 950 = 119008252389000
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
667 : 1, 23, 29, 667
722 : 1, 2, 19, 38, 361, 722
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,690,667,722,950, is 1.
Now, the common factors can be found like this.
377:13x 29
690:2x 3x 5x 23
667:23x 29
722:2x 19x 19
950:2x 5x 5x 19
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 5x 19x 23x 29 = 253460
Therefore, the value for common factors is 253460.
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 = 119008252389000/(1x253460)
LCM = 119008252389000/253460
LCM = 469534650
Thus, we can understand that the LCM of 377,690,667,722,950 is 469534650.
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FAQs on LCM of 377, 690, 667, 722, 950
1. What is the LCM of 377, 690, 667, 722, 950?
Answer: LCM of 377, 690, 667, 722, 950 is 469534650.
2. How to calculate the LCM of 377, 690, 667, 722, 950?
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, 690, 667, 722, 950.
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}.