LCM of 679, 586, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 679, 586, 764 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 679, 586, 764. So, keep reading to learn more.
Given numbers are 679,586,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 679,586,764 is 151995508.
Find LCM of 679,586,764 with Prime Factorization
| 2 | 679, 586, 764 |
| 679, 293, 382 |
Multiply the prime numbers at the bottom and the left side.
2 x 679 x 293 x 382 = 151995508
Therefore, the lowest common multiple of 679,586,764 is 151995508.
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.
679 x 586 x 764 = 303991016
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.
679 : 1, 7, 97, 679
586 : 1, 2, 293, 586
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,586,764, is 1.
Now, the common factors can be found like this.
679:7x 97
586:2x 293
764:2x 2x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 303991016/(1x2)
LCM = 303991016/2
LCM = 151995508
Thus, we can understand that the LCM of 679,586,764 is 151995508.
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FAQs on LCM of 679, 586, 764
1. What is the LCM of 679, 586, 764?
Answer: LCM of 679, 586, 764 is 151995508.
2. How to calculate the LCM of 679, 586, 764?
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 679, 586, 764.
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}.