LCM of 703, 340, 615, 492, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 340, 615, 492, 733 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 703, 340, 615, 492, 733. So, keep reading to learn more.
Given numbers are 703,340,615,492,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,340,615,492,733 is 21549804180.
Find LCM of 703,340,615,492,733 with Prime Factorization
| 2 | 703, 340, 615, 492, 733 |
| 2 | 703, 170, 615, 246, 733 |
| 3 | 703, 85, 615, 123, 733 |
| 5 | 703, 85, 205, 41, 733 |
| 41 | 703, 17, 41, 41, 733 |
| 703, 17, 1, 1, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 703 x 17 x 1 x 1 x 733 = 21549804180
Therefore, the lowest common multiple of 703,340,615,492,733 is 21549804180.
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.
703 x 340 x 615 x 492 x 733 = 53012518282800
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.
703 : 1, 19, 37, 703
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
615 : 1, 3, 5, 15, 41, 123, 205, 615
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,340,615,492,733, is 1.
Now, the common factors can be found like this.
703:19x 37
340:2x 2x 5x 17
615:3x 5x 41
492:2x 2x 3x 41
733:733
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 3x 5x 41 = 2460
Therefore, the value for common factors is 2460.
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 = 53012518282800/(1x2460)
LCM = 53012518282800/2460
LCM = 21549804180
Thus, we can understand that the LCM of 703,340,615,492,733 is 21549804180.
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FAQs on LCM of 703, 340, 615, 492, 733
1. What is the LCM of 703, 340, 615, 492, 733?
Answer: LCM of 703, 340, 615, 492, 733 is 21549804180.
2. How to calculate the LCM of 703, 340, 615, 492, 733?
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 703, 340, 615, 492, 733.
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}.