LCM of 985, 497, 676, 710, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 497, 676, 710, 852 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 985, 497, 676, 710, 852. So, keep reading to learn more.
Given numbers are 985,497,676,710,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,497,676,710,852 is 992797260.
Find LCM of 985,497,676,710,852 with Prime Factorization
| 2 | 985, 497, 676, 710, 852 |
| 2 | 985, 497, 338, 355, 426 |
| 5 | 985, 497, 169, 355, 213 |
| 71 | 197, 497, 169, 71, 213 |
| 197, 7, 169, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 71 x 197 x 7 x 169 x 1 x 3 = 992797260
Therefore, the lowest common multiple of 985,497,676,710,852 is 992797260.
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.
985 x 497 x 676 x 710 x 852 = 200187639506400
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.
985 : 1, 5, 197, 985
497 : 1, 7, 71, 497
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
710 : 1, 2, 5, 10, 71, 142, 355, 710
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,497,676,710,852, is 1.
Now, the common factors can be found like this.
985:5x 197
497:7x 71
676:2x 2x 13x 13
710:2x 5x 71
852:2x 2x 3x 71
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 71x 71 = 201640
Therefore, the value for common factors is 201640.
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 = 200187639506400/(1x201640)
LCM = 200187639506400/201640
LCM = 992797260
Thus, we can understand that the LCM of 985,497,676,710,852 is 992797260.
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FAQs on LCM of 985, 497, 676, 710, 852
1. What is the LCM of 985, 497, 676, 710, 852?
Answer: LCM of 985, 497, 676, 710, 852 is 992797260.
2. How to calculate the LCM of 985, 497, 676, 710, 852?
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 985, 497, 676, 710, 852.
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}.