LCM of 974, 242, 504, 572, 794
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 242, 504, 572, 794 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, 242, 504, 572, 794. So, keep reading to learn more.
Given numbers are 974,242,504,572,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,242,504,572,794 is 153277612488.
Find LCM of 974,242,504,572,794 with Prime Factorization
| 2 | 974, 242, 504, 572, 794 |
| 2 | 487, 121, 252, 286, 397 |
| 11 | 487, 121, 126, 143, 397 |
| 487, 11, 126, 13, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 487 x 11 x 126 x 13 x 397 = 153277612488
Therefore, the lowest common multiple of 974,242,504,572,794 is 153277612488.
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 242 x 504 x 572 x 794 = 53953719595776
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
242 : 1, 2, 11, 22, 121, 242
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
794 : 1, 2, 397, 794
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,242,504,572,794, is 2.
Now, the common factors can be found like this.
974:2x 487
242:2x 11x 11
504:2x 2x 2x 3x 3x 7
572:2x 2x 11x 13
794:2x 397
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 11 = 176
Therefore, the value for common factors is 176.
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 = 53953719595776/(2x176)
LCM = 53953719595776/352
LCM = 153277612488
Thus, we can understand that the LCM of 974,242,504,572,794 is 153277612488.
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FAQs on LCM of 974, 242, 504, 572, 794
1. What is the LCM of 974, 242, 504, 572, 794?
Answer: LCM of 974, 242, 504, 572, 794 is 153277612488.
2. How to calculate the LCM of 974, 242, 504, 572, 794?
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, 242, 504, 572, 794.
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}.