LCM of 745, 974, 926, 945, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 745, 974, 926, 945, 926 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 745, 974, 926, 945, 926. So, keep reading to learn more.
Given numbers are 745,974,926,945,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,974,926,945,926 is 63497704410.
Find LCM of 745,974,926,945,926 with Prime Factorization
| 2 | 745, 974, 926, 945, 926 |
| 5 | 745, 487, 463, 945, 463 |
| 463 | 149, 487, 463, 189, 463 |
| 149, 487, 1, 189, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 463 x 149 x 487 x 1 x 189 x 1 = 63497704410
Therefore, the lowest common multiple of 745,974,926,945,926 is 63497704410.
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.
745 x 974 x 926 x 945 x 926 = 587988742836600
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.
745 : 1, 5, 149, 745
974 : 1, 2, 487, 974
926 : 1, 2, 463, 926
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,974,926,945,926, is 1.
Now, the common factors can be found like this.
745:5x 149
974:2x 487
926:2x 463
945:3x 3x 3x 5x 7
926:2x 463
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 463 = 9260
Therefore, the value for common factors is 9260.
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 = 587988742836600/(1x9260)
LCM = 587988742836600/9260
LCM = 63497704410
Thus, we can understand that the LCM of 745,974,926,945,926 is 63497704410.
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FAQs on LCM of 745, 974, 926, 945, 926
1. What is the LCM of 745, 974, 926, 945, 926?
Answer: LCM of 745, 974, 926, 945, 926 is 63497704410.
2. How to calculate the LCM of 745, 974, 926, 945, 926?
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 745, 974, 926, 945, 926.
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}.