LCM of 769, 315, 126, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 315, 126, 756 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 769, 315, 126, 756. So, keep reading to learn more.
Given numbers are 769,315,126,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,315,126,756 is 2906820.
Find LCM of 769,315,126,756 with Prime Factorization
| 2 | 769, 315, 126, 756 |
| 3 | 769, 315, 63, 378 |
| 3 | 769, 105, 21, 126 |
| 7 | 769, 35, 7, 42 |
| 769, 5, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 769 x 5 x 1 x 6 = 2906820
Therefore, the lowest common multiple of 769,315,126,756 is 2906820.
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.
769 x 315 x 126 x 756 = 23074337160
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.
769 : 1, 769
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,315,126,756, is 1.
Now, the common factors can be found like this.
769:769
315:3x 3x 5x 7
126:2x 3x 3x 7
756:2x 2x 3x 3x 3x 7
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 3x 7x 7 = 7938
Therefore, the value for common factors is 7938.
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 = 23074337160/(1x7938)
LCM = 23074337160/7938
LCM = 2906820
Thus, we can understand that the LCM of 769,315,126,756 is 2906820.
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FAQs on LCM of 769, 315, 126, 756
1. What is the LCM of 769, 315, 126, 756?
Answer: LCM of 769, 315, 126, 756 is 2906820.
2. How to calculate the LCM of 769, 315, 126, 756?
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 769, 315, 126, 756.
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}.