LCM of 874, 490, 616, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 490, 616, 343 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 874, 490, 616, 343. So, keep reading to learn more.
Given numbers are 874,490,616,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,490,616,343 is 65952040.
Find LCM of 874,490,616,343 with Prime Factorization
| 2 | 874, 490, 616, 343 |
| 7 | 437, 245, 308, 343 |
| 7 | 437, 35, 44, 49 |
| 437, 5, 44, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 437 x 5 x 44 x 7 = 65952040
Therefore, the lowest common multiple of 874,490,616,343 is 65952040.
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.
874 x 490 x 616 x 343 = 90486198880
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,490,616,343, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
490:2x 5x 7x 7
616:2x 2x 2x 7x 11
343:7x 7x 7
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 7x 7x 7 = 1372
Therefore, the value for common factors is 1372.
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 = 90486198880/(1x1372)
LCM = 90486198880/1372
LCM = 65952040
Thus, we can understand that the LCM of 874,490,616,343 is 65952040.
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FAQs on LCM of 874, 490, 616, 343
1. What is the LCM of 874, 490, 616, 343?
Answer: LCM of 874, 490, 616, 343 is 65952040.
2. How to calculate the LCM of 874, 490, 616, 343?
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 874, 490, 616, 343.
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}.