LCM of 474, 743, 377, 845, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 743, 377, 845, 175 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 474, 743, 377, 845, 175. So, keep reading to learn more.
Given numbers are 474,743,377,845,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,743,377,845,175 is 302057696850.
Find LCM of 474,743,377,845,175 with Prime Factorization
| 5 | 474, 743, 377, 845, 175 |
| 13 | 474, 743, 377, 169, 35 |
| 474, 743, 29, 13, 35 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 474 x 743 x 29 x 13 x 35 = 302057696850
Therefore, the lowest common multiple of 474,743,377,845,175 is 302057696850.
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.
474 x 743 x 377 x 845 x 175 = 19633750295250
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
743 : 1, 743
377 : 1, 13, 29, 377
845 : 1, 5, 13, 65, 169, 845
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,743,377,845,175, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
743:743
377:13x 29
845:5x 13x 13
175:5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13 = 65
Therefore, the value for common factors is 65.
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 = 19633750295250/(1x65)
LCM = 19633750295250/65
LCM = 302057696850
Thus, we can understand that the LCM of 474,743,377,845,175 is 302057696850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 474, 743, 377, 845, 175
1. What is the LCM of 474, 743, 377, 845, 175?
Answer: LCM of 474, 743, 377, 845, 175 is 302057696850.
2. How to calculate the LCM of 474, 743, 377, 845, 175?
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 474, 743, 377, 845, 175.
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}.