LCM of 840, 288, 348, 630, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 840, 288, 348, 630, 554 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 840, 288, 348, 630, 554. So, keep reading to learn more.
Given numbers are 840,288,348,630,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 840,288,348,630,554 is 80972640.
Find LCM of 840,288,348,630,554 with Prime Factorization
| 2 | 840, 288, 348, 630, 554 |
| 2 | 420, 144, 174, 315, 277 |
| 2 | 210, 72, 87, 315, 277 |
| 3 | 105, 36, 87, 315, 277 |
| 3 | 35, 12, 29, 105, 277 |
| 5 | 35, 4, 29, 35, 277 |
| 7 | 7, 4, 29, 7, 277 |
| 1, 4, 29, 1, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 7 x 1 x 4 x 29 x 1 x 277 = 80972640
Therefore, the lowest common multiple of 840,288,348,630,554 is 80972640.
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.
840 x 288 x 348 x 630 x 554 = 29383351603200
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.
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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
554 : 1, 2, 277, 554
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,288,348,630,554, is 2.
Now, the common factors can be found like this.
840:2x 2x 2x 3x 5x 7
288:2x 2x 2x 2x 2x 3x 3
348:2x 2x 3x 29
630:2x 3x 3x 5x 7
554:2x 277
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 3x 3x 3x 3x 5x 7 = 181440
Therefore, the value for common factors is 181440.
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 = 29383351603200/(2x181440)
LCM = 29383351603200/362880
LCM = 80972640
Thus, we can understand that the LCM of 840,288,348,630,554 is 80972640.
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FAQs on LCM of 840, 288, 348, 630, 554
1. What is the LCM of 840, 288, 348, 630, 554?
Answer: LCM of 840, 288, 348, 630, 554 is 80972640.
2. How to calculate the LCM of 840, 288, 348, 630, 554?
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 840, 288, 348, 630, 554.
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}.