LCM of 119, 340, 548, 357, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 340, 548, 357, 130 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, 340, 548, 357, 130. So, keep reading to learn more.
Given numbers are 119,340,548,357,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,340,548,357,130 is 12716340.
Find LCM of 119,340,548,357,130 with Prime Factorization
| 2 | 119, 340, 548, 357, 130 |
| 2 | 119, 170, 274, 357, 65 |
| 5 | 119, 85, 137, 357, 65 |
| 7 | 119, 17, 137, 357, 13 |
| 17 | 17, 17, 137, 51, 13 |
| 1, 1, 137, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 17 x 1 x 1 x 137 x 3 x 13 = 12716340
Therefore, the lowest common multiple of 119,340,548,357,130 is 12716340.
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 340 x 548 x 357 x 130 = 1029006232800
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
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
548 : 1, 2, 4, 137, 274, 548
357 : 1, 3, 7, 17, 21, 51, 119, 357
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,340,548,357,130, is 1.
Now, the common factors can be found like this.
119:7x 17
340:2x 2x 5x 17
548:2x 2x 137
357:3x 7x 17
130:2x 5x 13
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 7x 17x 17 = 80920
Therefore, the value for common factors is 80920.
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 = 1029006232800/(1x80920)
LCM = 1029006232800/80920
LCM = 12716340
Thus, we can understand that the LCM of 119,340,548,357,130 is 12716340.
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FAQs on LCM of 119, 340, 548, 357, 130
1. What is the LCM of 119, 340, 548, 357, 130?
Answer: LCM of 119, 340, 548, 357, 130 is 12716340.
2. How to calculate the LCM of 119, 340, 548, 357, 130?
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, 340, 548, 357, 130.
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}.