LCM of 602, 300, 406, 794, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 300, 406, 794, 726 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 602, 300, 406, 794, 726. So, keep reading to learn more.
Given numbers are 602,300,406,794,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,300,406,794,726 is 125794491900.
Find LCM of 602,300,406,794,726 with Prime Factorization
| 2 | 602, 300, 406, 794, 726 |
| 3 | 301, 150, 203, 397, 363 |
| 7 | 301, 50, 203, 397, 121 |
| 43, 50, 29, 397, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 43 x 50 x 29 x 397 x 121 = 125794491900
Therefore, the lowest common multiple of 602,300,406,794,726 is 125794491900.
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.
602 x 300 x 406 x 794 x 726 = 42266949278400
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
406 : 1, 2, 7, 14, 29, 58, 203, 406
794 : 1, 2, 397, 794
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,300,406,794,726, is 2.
Now, the common factors can be found like this.
602:2x 7x 43
300:2x 2x 3x 5x 5
406:2x 7x 29
794:2x 397
726:2x 3x 11x 11
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 42266949278400/(2x168)
LCM = 42266949278400/336
LCM = 125794491900
Thus, we can understand that the LCM of 602,300,406,794,726 is 125794491900.
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FAQs on LCM of 602, 300, 406, 794, 726
1. What is the LCM of 602, 300, 406, 794, 726?
Answer: LCM of 602, 300, 406, 794, 726 is 125794491900.
2. How to calculate the LCM of 602, 300, 406, 794, 726?
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 602, 300, 406, 794, 726.
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}.