LCM of 974, 740, 770, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 740, 770, 415 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 974, 740, 770, 415. So, keep reading to learn more.
Given numbers are 974,740,770,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,740,770,415 is 2303188580.
Find LCM of 974,740,770,415 with Prime Factorization
| 2 | 974, 740, 770, 415 |
| 5 | 487, 370, 385, 415 |
| 487, 74, 77, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 487 x 74 x 77 x 83 = 2303188580
Therefore, the lowest common multiple of 974,740,770,415 is 2303188580.
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.
974 x 740 x 770 x 415 = 230318858000
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.
974 : 1, 2, 487, 974
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,740,770,415, is 1.
Now, the common factors can be found like this.
974:2x 487
740:2x 2x 5x 37
770:2x 5x 7x 11
415:5x 83
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 230318858000/(1x100)
LCM = 230318858000/100
LCM = 2303188580
Thus, we can understand that the LCM of 974,740,770,415 is 2303188580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 974, 740, 770, 415
1. What is the LCM of 974, 740, 770, 415?
Answer: LCM of 974, 740, 770, 415 is 2303188580.
2. How to calculate the LCM of 974, 740, 770, 415?
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 974, 740, 770, 415.
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}.