LCM of 735, 588, 680, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 588, 680, 906 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 735, 588, 680, 906. So, keep reading to learn more.
Given numbers are 735,588,680,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,588,680,906 is 15093960.
Find LCM of 735,588,680,906 with Prime Factorization
| 2 | 735, 588, 680, 906 |
| 2 | 735, 294, 340, 453 |
| 3 | 735, 147, 170, 453 |
| 5 | 245, 49, 170, 151 |
| 7 | 49, 49, 34, 151 |
| 7 | 7, 7, 34, 151 |
| 1, 1, 34, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 7 x 1 x 1 x 34 x 151 = 15093960
Therefore, the lowest common multiple of 735,588,680,906 is 15093960.
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.
735 x 588 x 680 x 906 = 266257454400
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,588,680,906, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
588:2x 2x 3x 7x 7
680:2x 2x 2x 5x 17
906:2x 3x 151
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 2x 3x 3x 5x 7x 7 = 17640
Therefore, the value for common factors is 17640.
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 = 266257454400/(1x17640)
LCM = 266257454400/17640
LCM = 15093960
Thus, we can understand that the LCM of 735,588,680,906 is 15093960.
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FAQs on LCM of 735, 588, 680, 906
1. What is the LCM of 735, 588, 680, 906?
Answer: LCM of 735, 588, 680, 906 is 15093960.
2. How to calculate the LCM of 735, 588, 680, 906?
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 735, 588, 680, 906.
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}.