LCM of 376, 318, 490, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 318, 490, 159 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 376, 318, 490, 159. So, keep reading to learn more.
Given numbers are 376,318,490,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,318,490,159 is 14647080.
Find LCM of 376,318,490,159 with Prime Factorization
| 2 | 376, 318, 490, 159 |
| 3 | 188, 159, 245, 159 |
| 53 | 188, 53, 245, 53 |
| 188, 1, 245, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 188 x 1 x 245 x 1 = 14647080
Therefore, the lowest common multiple of 376,318,490,159 is 14647080.
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.
376 x 318 x 490 x 159 = 9315542880
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
318 : 1, 2, 3, 6, 53, 106, 159, 318
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,318,490,159, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
318:2x 3x 53
490:2x 5x 7x 7
159:3x 53
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 53 = 636
Therefore, the value for common factors is 636.
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 = 9315542880/(1x636)
LCM = 9315542880/636
LCM = 14647080
Thus, we can understand that the LCM of 376,318,490,159 is 14647080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 376, 318, 490, 159
1. What is the LCM of 376, 318, 490, 159?
Answer: LCM of 376, 318, 490, 159 is 14647080.
2. How to calculate the LCM of 376, 318, 490, 159?
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 376, 318, 490, 159.
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}.