LCM of 9, 720, 749, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9, 720, 749, 357 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 9, 720, 749, 357. So, keep reading to learn more.
Given numbers are 9,720,749,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9,720,749,357 is 9167760.
Find LCM of 9,720,749,357 with Prime Factorization
| 3 | 9, 720, 749, 357 |
| 3 | 3, 240, 749, 119 |
| 7 | 1, 80, 749, 119 |
| 1, 80, 107, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 1 x 80 x 107 x 17 = 9167760
Therefore, the lowest common multiple of 9,720,749,357 is 9167760.
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.
9 x 720 x 749 x 357 = 1732706640
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.
9 : 1, 3, 9
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
749 : 1, 7, 107, 749
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,720,749,357, is 1.
Now, the common factors can be found like this.
9:3x 3
720:2x 2x 2x 2x 3x 3x 5
749:7x 107
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7 = 189
Therefore, the value for common factors is 189.
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 = 1732706640/(1x189)
LCM = 1732706640/189
LCM = 9167760
Thus, we can understand that the LCM of 9,720,749,357 is 9167760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 9, 720, 749, 357
1. What is the LCM of 9, 720, 749, 357?
Answer: LCM of 9, 720, 749, 357 is 9167760.
2. How to calculate the LCM of 9, 720, 749, 357?
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 9, 720, 749, 357.
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}.