LCM of 391, 284, 705, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 284, 705, 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 391, 284, 705, 764. So, keep reading to learn more.
Given numbers are 391,284,705,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,284,705,764 is 14952629820.
Find LCM of 391,284,705,764 with Prime Factorization
| 2 | 391, 284, 705, 764 |
| 2 | 391, 142, 705, 382 |
| 391, 71, 705, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 391 x 71 x 705 x 191 = 14952629820
Therefore, the lowest common multiple of 391,284,705,764 is 14952629820.
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.
391 x 284 x 705 x 764 = 59810519280
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.
391 : 1, 17, 23, 391
284 : 1, 2, 4, 71, 142, 284
705 : 1, 3, 5, 15, 47, 141, 235, 705
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 391,284,705,764, is 1.
Now, the common factors can be found like this.
391:17x 23
284:2x 2x 71
705:3x 5x 47
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.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 59810519280/(1x4)
LCM = 59810519280/4
LCM = 14952629820
Thus, we can understand that the LCM of 391,284,705,764 is 14952629820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 284, 705, 764
1. What is the LCM of 391, 284, 705, 764?
Answer: LCM of 391, 284, 705, 764 is 14952629820.
2. How to calculate the LCM of 391, 284, 705, 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 391, 284, 705, 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}.