LCM of 105, 147, 343, 752, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 147, 343, 752, 506 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 105, 147, 343, 752, 506. So, keep reading to learn more.
Given numbers are 105,147,343,752,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,147,343,752,506 is 978867120.
Find LCM of 105,147,343,752,506 with Prime Factorization
| 2 | 105, 147, 343, 752, 506 |
| 3 | 105, 147, 343, 376, 253 |
| 7 | 35, 49, 343, 376, 253 |
| 7 | 5, 7, 49, 376, 253 |
| 5, 1, 7, 376, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 5 x 1 x 7 x 376 x 253 = 978867120
Therefore, the lowest common multiple of 105,147,343,752,506 is 978867120.
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.
105 x 147 x 343 x 752 x 506 = 2014508532960
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
147 : 1, 3, 7, 21, 49, 147
343 : 1, 7, 49, 343
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,147,343,752,506, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
147:3x 7x 7
343:7x 7x 7
752:2x 2x 2x 2x 47
506:2x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7x 7 = 2058
Therefore, the value for common factors is 2058.
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 = 2014508532960/(1x2058)
LCM = 2014508532960/2058
LCM = 978867120
Thus, we can understand that the LCM of 105,147,343,752,506 is 978867120.
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FAQs on LCM of 105, 147, 343, 752, 506
1. What is the LCM of 105, 147, 343, 752, 506?
Answer: LCM of 105, 147, 343, 752, 506 is 978867120.
2. How to calculate the LCM of 105, 147, 343, 752, 506?
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 105, 147, 343, 752, 506.
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}.