LCM of 119, 286, 630, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 286, 630, 493 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 119, 286, 630, 493. So, keep reading to learn more.
Given numbers are 119,286,630,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,286,630,493 is 44414370.
Find LCM of 119,286,630,493 with Prime Factorization
| 2 | 119, 286, 630, 493 |
| 7 | 119, 143, 315, 493 |
| 17 | 17, 143, 45, 493 |
| 1, 143, 45, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 1 x 143 x 45 x 29 = 44414370
Therefore, the lowest common multiple of 119,286,630,493 is 44414370.
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.
119 x 286 x 630 x 493 = 10570620060
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.
119 : 1, 7, 17, 119
286 : 1, 2, 11, 13, 22, 26, 143, 286
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,286,630,493, is 1.
Now, the common factors can be found like this.
119:7x 17
286:2x 11x 13
630:2x 3x 3x 5x 7
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17 = 238
Therefore, the value for common factors is 238.
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 = 10570620060/(1x238)
LCM = 10570620060/238
LCM = 44414370
Thus, we can understand that the LCM of 119,286,630,493 is 44414370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 119, 286, 630, 493
1. What is the LCM of 119, 286, 630, 493?
Answer: LCM of 119, 286, 630, 493 is 44414370.
2. How to calculate the LCM of 119, 286, 630, 493?
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 119, 286, 630, 493.
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}.