LCM of 490, 475, 420, 278, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 475, 420, 278, 540 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 490, 475, 420, 278, 540. So, keep reading to learn more.
Given numbers are 490,475,420,278,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,475,420,278,540 is 349404300.
Find LCM of 490,475,420,278,540 with Prime Factorization
| 2 | 490, 475, 420, 278, 540 |
| 2 | 245, 475, 210, 139, 270 |
| 3 | 245, 475, 105, 139, 135 |
| 5 | 245, 475, 35, 139, 45 |
| 7 | 49, 95, 7, 139, 9 |
| 1, 95, 7, 139, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 95 x 7 x 139 x 9 = 349404300
Therefore, the lowest common multiple of 490,475,420,278,540 is 349404300.
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.
490 x 475 x 420 x 278 x 540 = 14674980600000
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
475 : 1, 5, 19, 25, 95, 475
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
278 : 1, 2, 139, 278
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,475,420,278,540, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
475:5x 5x 19
420:2x 2x 3x 5x 7
278:2x 139
540:2x 2x 3x 3x 3x 5
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 2x 3x 5x 5x 5x 7 = 42000
Therefore, the value for common factors is 42000.
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 = 14674980600000/(1x42000)
LCM = 14674980600000/42000
LCM = 349404300
Thus, we can understand that the LCM of 490,475,420,278,540 is 349404300.
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FAQs on LCM of 490, 475, 420, 278, 540
1. What is the LCM of 490, 475, 420, 278, 540?
Answer: LCM of 490, 475, 420, 278, 540 is 349404300.
2. How to calculate the LCM of 490, 475, 420, 278, 540?
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 490, 475, 420, 278, 540.
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}.