LCM of 970, 510, 578, 298, 485
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 510, 578, 298, 485 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 970, 510, 578, 298, 485. So, keep reading to learn more.
Given numbers are 970,510,578,298,485
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,510,578,298,485 is 125307510.
Find LCM of 970,510,578,298,485 with Prime Factorization
| 2 | 970, 510, 578, 298, 485 |
| 5 | 485, 255, 289, 149, 485 |
| 17 | 97, 51, 289, 149, 97 |
| 97 | 97, 3, 17, 149, 97 |
| 1, 3, 17, 149, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 97 x 1 x 3 x 17 x 149 x 1 = 125307510
Therefore, the lowest common multiple of 970,510,578,298,485 is 125307510.
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.
970 x 510 x 578 x 298 x 485 = 41326416798000
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
578 : 1, 2, 17, 34, 289, 578
298 : 1, 2, 149, 298
485 : 1, 5, 97, 485
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,510,578,298,485, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
510:2x 3x 5x 17
578:2x 17x 17
298:2x 149
485:5x 97
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 5x 17x 97 = 329800
Therefore, the value for common factors is 329800.
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 = 41326416798000/(1x329800)
LCM = 41326416798000/329800
LCM = 125307510
Thus, we can understand that the LCM of 970,510,578,298,485 is 125307510.
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FAQs on LCM of 970, 510, 578, 298, 485
1. What is the LCM of 970, 510, 578, 298, 485?
Answer: LCM of 970, 510, 578, 298, 485 is 125307510.
2. How to calculate the LCM of 970, 510, 578, 298, 485?
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 970, 510, 578, 298, 485.
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}.