LCM of 689, 261, 767, 373
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 261, 767, 373 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 689, 261, 767, 373. So, keep reading to learn more.
Given numbers are 689,261,767,373
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,261,767,373 is 3957496803.
Find LCM of 689,261,767,373 with Prime Factorization
| 13 | 689, 261, 767, 373 |
| 53, 261, 59, 373 |
Multiply the prime numbers at the bottom and the left side.
13 x 53 x 261 x 59 x 373 = 3957496803
Therefore, the lowest common multiple of 689,261,767,373 is 3957496803.
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.
689 x 261 x 767 x 373 = 51447458439
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.
689 : 1, 13, 53, 689
261 : 1, 3, 9, 29, 87, 261
767 : 1, 13, 59, 767
373 : 1, 373
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,261,767,373, is 1.
Now, the common factors can be found like this.
689:13x 53
261:3x 3x 29
767:13x 59
373:373
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 51447458439/(1x13)
LCM = 51447458439/13
LCM = 3957496803
Thus, we can understand that the LCM of 689,261,767,373 is 3957496803.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 261, 767, 373
1. What is the LCM of 689, 261, 767, 373?
Answer: LCM of 689, 261, 767, 373 is 3957496803.
2. How to calculate the LCM of 689, 261, 767, 373?
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 689, 261, 767, 373.
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}.