LCM of 845, 603, 865, 606, 202
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 603, 865, 606, 202 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 845, 603, 865, 606, 202. So, keep reading to learn more.
Given numbers are 845,603,865,606,202
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,603,865,606,202 is 17806210110.
Find LCM of 845,603,865,606,202 with Prime Factorization
| 2 | 845, 603, 865, 606, 202 |
| 3 | 845, 603, 865, 303, 101 |
| 5 | 845, 201, 865, 101, 101 |
| 101 | 169, 201, 173, 101, 101 |
| 169, 201, 173, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 101 x 169 x 201 x 173 x 1 x 1 = 17806210110
Therefore, the lowest common multiple of 845,603,865,606,202 is 17806210110.
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.
845 x 603 x 865 x 606 x 202 = 53952816633300
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.
845 : 1, 5, 13, 65, 169, 845
603 : 1, 3, 9, 67, 201, 603
865 : 1, 5, 173, 865
606 : 1, 2, 3, 6, 101, 202, 303, 606
202 : 1, 2, 101, 202
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,603,865,606,202, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
603:3x 3x 67
865:5x 173
606:2x 3x 101
202:2x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 101 = 3030
Therefore, the value for common factors is 3030.
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 = 53952816633300/(1x3030)
LCM = 53952816633300/3030
LCM = 17806210110
Thus, we can understand that the LCM of 845,603,865,606,202 is 17806210110.
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FAQs on LCM of 845, 603, 865, 606, 202
1. What is the LCM of 845, 603, 865, 606, 202?
Answer: LCM of 845, 603, 865, 606, 202 is 17806210110.
2. How to calculate the LCM of 845, 603, 865, 606, 202?
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 845, 603, 865, 606, 202.
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}.