LCM of 210, 180, 938, 602, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 180, 938, 602, 536 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 210, 180, 938, 602, 536. So, keep reading to learn more.
Given numbers are 210,180,938,602,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,180,938,602,536 is 7260120.
Find LCM of 210,180,938,602,536 with Prime Factorization
| 2 | 210, 180, 938, 602, 536 |
| 2 | 105, 90, 469, 301, 268 |
| 3 | 105, 45, 469, 301, 134 |
| 5 | 35, 15, 469, 301, 134 |
| 7 | 7, 3, 469, 301, 134 |
| 67 | 1, 3, 67, 43, 134 |
| 1, 3, 1, 43, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 67 x 1 x 3 x 1 x 43 x 2 = 7260120
Therefore, the lowest common multiple of 210,180,938,602,536 is 7260120.
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.
210 x 180 x 938 x 602 x 536 = 11440787500800
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
938 : 1, 2, 7, 14, 67, 134, 469, 938
602 : 1, 2, 7, 14, 43, 86, 301, 602
536 : 1, 2, 4, 8, 67, 134, 268, 536
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,180,938,602,536, is 2.
Now, the common factors can be found like this.
210:2x 3x 5x 7
180:2x 2x 3x 3x 5
938:2x 7x 67
602:2x 7x 43
536:2x 2x 2x 67
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 3x 5x 7x 7x 67 = 787920
Therefore, the value for common factors is 787920.
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 = 11440787500800/(2x787920)
LCM = 11440787500800/1575840
LCM = 7260120
Thus, we can understand that the LCM of 210,180,938,602,536 is 7260120.
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FAQs on LCM of 210, 180, 938, 602, 536
1. What is the LCM of 210, 180, 938, 602, 536?
Answer: LCM of 210, 180, 938, 602, 536 is 7260120.
2. How to calculate the LCM of 210, 180, 938, 602, 536?
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 210, 180, 938, 602, 536.
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}.