LCM of 759, 906, 735, 134, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 906, 735, 134, 345 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 759, 906, 735, 134, 345. So, keep reading to learn more.
Given numbers are 759,906,735,134,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,906,735,134,345 is 3762613470.
Find LCM of 759,906,735,134,345 with Prime Factorization
| 2 | 759, 906, 735, 134, 345 |
| 3 | 759, 453, 735, 67, 345 |
| 5 | 253, 151, 245, 67, 115 |
| 23 | 253, 151, 49, 67, 23 |
| 11, 151, 49, 67, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 11 x 151 x 49 x 67 x 1 = 3762613470
Therefore, the lowest common multiple of 759,906,735,134,345 is 3762613470.
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.
759 x 906 x 735 x 134 x 345 = 23365829648700
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
906 : 1, 2, 3, 6, 151, 302, 453, 906
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
134 : 1, 2, 67, 134
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,906,735,134,345, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
906:2x 3x 151
735:3x 5x 7x 7
134:2x 67
345:3x 5x 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 3x 3x 5x 23 = 6210
Therefore, the value for common factors is 6210.
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 = 23365829648700/(1x6210)
LCM = 23365829648700/6210
LCM = 3762613470
Thus, we can understand that the LCM of 759,906,735,134,345 is 3762613470.
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FAQs on LCM of 759, 906, 735, 134, 345
1. What is the LCM of 759, 906, 735, 134, 345?
Answer: LCM of 759, 906, 735, 134, 345 is 3762613470.
2. How to calculate the LCM of 759, 906, 735, 134, 345?
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 759, 906, 735, 134, 345.
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}.