LCM of 370, 782, 874, 520, 794
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 370, 782, 874, 520, 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 370, 782, 874, 520, 794. So, keep reading to learn more.
Given numbers are 370,782,874,520,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 370,782,874,520,794 is 56744782120.
Find LCM of 370,782,874,520,794 with Prime Factorization
| 2 | 370, 782, 874, 520, 794 |
| 5 | 185, 391, 437, 260, 397 |
| 23 | 37, 391, 437, 52, 397 |
| 37, 17, 19, 52, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 37 x 17 x 19 x 52 x 397 = 56744782120
Therefore, the lowest common multiple of 370,782,874,520,794 is 56744782120.
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.
370 x 782 x 874 x 520 x 794 = 104410399100800
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.
370 : 1, 2, 5, 10, 37, 74, 185, 370
782 : 1, 2, 17, 23, 34, 46, 391, 782
874 : 1, 2, 19, 23, 38, 46, 437, 874
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
794 : 1, 2, 397, 794
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,782,874,520,794, is 2.
Now, the common factors can be found like this.
370:2x 5x 37
782:2x 17x 23
874:2x 19x 23
520:2x 2x 2x 5x 13
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 5x 23 = 920
Therefore, the value for common factors is 920.
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 = 104410399100800/(2x920)
LCM = 104410399100800/1840
LCM = 56744782120
Thus, we can understand that the LCM of 370,782,874,520,794 is 56744782120.
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FAQs on LCM of 370, 782, 874, 520, 794
1. What is the LCM of 370, 782, 874, 520, 794?
Answer: LCM of 370, 782, 874, 520, 794 is 56744782120.
2. How to calculate the LCM of 370, 782, 874, 520, 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 370, 782, 874, 520, 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}.