LCM of 175, 420, 490, 272, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 175, 420, 490, 272, 672 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 175, 420, 490, 272, 672. So, keep reading to learn more.
Given numbers are 175,420,490,272,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 175,420,490,272,672 is 1999200.
Find LCM of 175,420,490,272,672 with Prime Factorization
| 2 | 175, 420, 490, 272, 672 |
| 2 | 175, 210, 245, 136, 336 |
| 2 | 175, 105, 245, 68, 168 |
| 2 | 175, 105, 245, 34, 84 |
| 3 | 175, 105, 245, 17, 42 |
| 5 | 175, 35, 245, 17, 14 |
| 7 | 7, 35, 49, 17, 14 |
| 1, 5, 7, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 1 x 5 x 7 x 17 x 2 = 1999200
Therefore, the lowest common multiple of 175,420,490,272,672 is 1999200.
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.
175 x 420 x 490 x 272 x 672 = 6582965760000
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.
175 : 1, 5, 7, 25, 35, 175
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
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 175,420,490,272,672, is 1.
Now, the common factors can be found like this.
175:5x 5x 7
420:2x 2x 3x 5x 7
490:2x 5x 7x 7
272:2x 2x 2x 2x 17
672:2x 2x 2x 2x 2x 3x 7
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 2x 2x 2x 3x 5x 5x 7x 7x 7 = 3292800
Therefore, the value for common factors is 3292800.
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 = 6582965760000/(1x3292800)
LCM = 6582965760000/3292800
LCM = 1999200
Thus, we can understand that the LCM of 175,420,490,272,672 is 1999200.
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FAQs on LCM of 175, 420, 490, 272, 672
1. What is the LCM of 175, 420, 490, 272, 672?
Answer: LCM of 175, 420, 490, 272, 672 is 1999200.
2. How to calculate the LCM of 175, 420, 490, 272, 672?
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 175, 420, 490, 272, 672.
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}.