LCM of 792, 676, 370, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 676, 370, 728 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 792, 676, 370, 728. So, keep reading to learn more.
Given numbers are 792,676,370,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,676,370,728 is 173333160.
Find LCM of 792,676,370,728 with Prime Factorization
| 2 | 792, 676, 370, 728 |
| 2 | 396, 338, 185, 364 |
| 2 | 198, 169, 185, 182 |
| 13 | 99, 169, 185, 91 |
| 99, 13, 185, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 99 x 13 x 185 x 7 = 173333160
Therefore, the lowest common multiple of 792,676,370,728 is 173333160.
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.
792 x 676 x 370 x 728 = 144213189120
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
370 : 1, 2, 5, 10, 37, 74, 185, 370
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,676,370,728, is 2.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
676:2x 2x 13x 13
370:2x 5x 37
728:2x 2x 2x 7x 13
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 2x 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 144213189120/(2x416)
LCM = 144213189120/832
LCM = 173333160
Thus, we can understand that the LCM of 792,676,370,728 is 173333160.
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FAQs on LCM of 792, 676, 370, 728
1. What is the LCM of 792, 676, 370, 728?
Answer: LCM of 792, 676, 370, 728 is 173333160.
2. How to calculate the LCM of 792, 676, 370, 728?
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 792, 676, 370, 728.
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}.