LCM of 769, 319, 998, 316, 750
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 319, 998, 316, 750 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, 319, 998, 316, 750. So, keep reading to learn more.
Given numbers are 769,319,998,316,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,319,998,316,750 is 14505607396500.
Find LCM of 769,319,998,316,750 with Prime Factorization
| 2 | 769, 319, 998, 316, 750 |
| 769, 319, 499, 158, 375 |
Multiply the prime numbers at the bottom and the left side.
2 x 769 x 319 x 499 x 158 x 375 = 14505607396500
Therefore, the lowest common multiple of 769,319,998,316,750 is 14505607396500.
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 319 x 998 x 316 x 750 = 58022429586000
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
319 : 1, 11, 29, 319
998 : 1, 2, 499, 998
316 : 1, 2, 4, 79, 158, 316
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,319,998,316,750, is 1.
Now, the common factors can be found like this.
769:769
319:11x 29
998:2x 499
316:2x 2x 79
750:2x 3x 5x 5x 5
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 = 58022429586000/(1x4)
LCM = 58022429586000/4
LCM = 14505607396500
Thus, we can understand that the LCM of 769,319,998,316,750 is 14505607396500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 769, 319, 998, 316, 750
1. What is the LCM of 769, 319, 998, 316, 750?
Answer: LCM of 769, 319, 998, 316, 750 is 14505607396500.
2. How to calculate the LCM of 769, 319, 998, 316, 750?
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, 319, 998, 316, 750.
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}.