LCM of 740, 294, 894, 168, 794
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 294, 894, 168, 794 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 740, 294, 894, 168, 794. So, keep reading to learn more.
Given numbers are 740,294,894,168,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,294,894,168,794 is 12869326680.
Find LCM of 740,294,894,168,794 with Prime Factorization
| 2 | 740, 294, 894, 168, 794 |
| 2 | 370, 147, 447, 84, 397 |
| 3 | 185, 147, 447, 42, 397 |
| 7 | 185, 49, 149, 14, 397 |
| 185, 7, 149, 2, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 185 x 7 x 149 x 2 x 397 = 12869326680
Therefore, the lowest common multiple of 740,294,894,168,794 is 12869326680.
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.
740 x 294 x 894 x 168 x 794 = 25944562586880
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
894 : 1, 2, 3, 6, 149, 298, 447, 894
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
794 : 1, 2, 397, 794
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,294,894,168,794, is 2.
Now, the common factors can be found like this.
740:2x 2x 5x 37
294:2x 3x 7x 7
894:2x 3x 149
168:2x 2x 2x 3x 7
794:2x 397
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 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 25944562586880/(2x1008)
LCM = 25944562586880/2016
LCM = 12869326680
Thus, we can understand that the LCM of 740,294,894,168,794 is 12869326680.
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FAQs on LCM of 740, 294, 894, 168, 794
1. What is the LCM of 740, 294, 894, 168, 794?
Answer: LCM of 740, 294, 894, 168, 794 is 12869326680.
2. How to calculate the LCM of 740, 294, 894, 168, 794?
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 740, 294, 894, 168, 794.
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}.