LCM of 657, 178, 950, 337
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 178, 950, 337 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 657, 178, 950, 337. So, keep reading to learn more.
Given numbers are 657,178,950,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,178,950,337 is 18720130950.
Find LCM of 657,178,950,337 with Prime Factorization
| 2 | 657, 178, 950, 337 |
| 657, 89, 475, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 657 x 89 x 475 x 337 = 18720130950
Therefore, the lowest common multiple of 657,178,950,337 is 18720130950.
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.
657 x 178 x 950 x 337 = 37440261900
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.
657 : 1, 3, 9, 73, 219, 657
178 : 1, 2, 89, 178
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,178,950,337, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
178:2x 89
950:2x 5x 5x 19
337:337
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 37440261900/(1x2)
LCM = 37440261900/2
LCM = 18720130950
Thus, we can understand that the LCM of 657,178,950,337 is 18720130950.
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FAQs on LCM of 657, 178, 950, 337
1. What is the LCM of 657, 178, 950, 337?
Answer: LCM of 657, 178, 950, 337 is 18720130950.
2. How to calculate the LCM of 657, 178, 950, 337?
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 657, 178, 950, 337.
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}.