LCM of 974, 748, 912, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 748, 912, 240 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, 748, 912, 240. So, keep reading to learn more.
Given numbers are 974,748,912,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,748,912,240 is 415274640.
Find LCM of 974,748,912,240 with Prime Factorization
| 2 | 974, 748, 912, 240 |
| 2 | 487, 374, 456, 120 |
| 2 | 487, 187, 228, 60 |
| 2 | 487, 187, 114, 30 |
| 3 | 487, 187, 57, 15 |
| 487, 187, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 487 x 187 x 19 x 5 = 415274640
Therefore, the lowest common multiple of 974,748,912,240 is 415274640.
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 748 x 912 x 240 = 159465461760
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,748,912,240, is 2.
Now, the common factors can be found like this.
974:2x 487
748:2x 2x 11x 17
912:2x 2x 2x 2x 3x 19
240:2x 2x 2x 2x 3x 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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 159465461760/(2x192)
LCM = 159465461760/384
LCM = 415274640
Thus, we can understand that the LCM of 974,748,912,240 is 415274640.
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FAQs on LCM of 974, 748, 912, 240
1. What is the LCM of 974, 748, 912, 240?
Answer: LCM of 974, 748, 912, 240 is 415274640.
2. How to calculate the LCM of 974, 748, 912, 240?
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, 748, 912, 240.
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}.