LCM of 470, 301, 507, 735, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 301, 507, 735, 797 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 470, 301, 507, 735, 797. So, keep reading to learn more.
Given numbers are 470,301,507,735,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,301,507,735,797 is 400155392910.
Find LCM of 470,301,507,735,797 with Prime Factorization
| 3 | 470, 301, 507, 735, 797 |
| 5 | 470, 301, 169, 245, 797 |
| 7 | 94, 301, 169, 49, 797 |
| 94, 43, 169, 7, 797 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 94 x 43 x 169 x 7 x 797 = 400155392910
Therefore, the lowest common multiple of 470,301,507,735,797 is 400155392910.
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.
470 x 301 x 507 x 735 x 797 = 42016316255550
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
301 : 1, 7, 43, 301
507 : 1, 3, 13, 39, 169, 507
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,301,507,735,797, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
301:7x 43
507:3x 13x 13
735:3x 5x 7x 7
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 42016316255550/(1x105)
LCM = 42016316255550/105
LCM = 400155392910
Thus, we can understand that the LCM of 470,301,507,735,797 is 400155392910.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 470, 301, 507, 735, 797
1. What is the LCM of 470, 301, 507, 735, 797?
Answer: LCM of 470, 301, 507, 735, 797 is 400155392910.
2. How to calculate the LCM of 470, 301, 507, 735, 797?
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 470, 301, 507, 735, 797.
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}.