LCM of 770, 748, 414, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 748, 414, 500 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 770, 748, 414, 500. So, keep reading to learn more.
Given numbers are 770,748,414,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,748,414,500 is 135481500.
Find LCM of 770,748,414,500 with Prime Factorization
| 2 | 770, 748, 414, 500 |
| 2 | 385, 374, 207, 250 |
| 5 | 385, 187, 207, 125 |
| 11 | 77, 187, 207, 25 |
| 7, 17, 207, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 7 x 17 x 207 x 25 = 135481500
Therefore, the lowest common multiple of 770,748,414,500 is 135481500.
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.
770 x 748 x 414 x 500 = 119223720000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,748,414,500, is 2.
Now, the common factors can be found like this.
770:2x 5x 7x 11
748:2x 2x 11x 17
414:2x 3x 3x 23
500:2x 2x 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 2x 2x 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 119223720000/(2x440)
LCM = 119223720000/880
LCM = 135481500
Thus, we can understand that the LCM of 770,748,414,500 is 135481500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 770, 748, 414, 500
1. What is the LCM of 770, 748, 414, 500?
Answer: LCM of 770, 748, 414, 500 is 135481500.
2. How to calculate the LCM of 770, 748, 414, 500?
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 770, 748, 414, 500.
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}.