LCM of 750, 210, 840, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 210, 840, 520 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 750, 210, 840, 520. So, keep reading to learn more.
Given numbers are 750,210,840,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,210,840,520 is 273000.
Find LCM of 750,210,840,520 with Prime Factorization
| 2 | 750, 210, 840, 520 |
| 2 | 375, 105, 420, 260 |
| 2 | 375, 105, 210, 130 |
| 3 | 375, 105, 105, 65 |
| 5 | 125, 35, 35, 65 |
| 7 | 25, 7, 7, 13 |
| 25, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 25 x 1 x 1 x 13 = 273000
Therefore, the lowest common multiple of 750,210,840,520 is 273000.
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.
750 x 210 x 840 x 520 = 68796000000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,210,840,520, is 10.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
210:2x 3x 5x 7
840:2x 2x 2x 3x 5x 7
520:2x 2x 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 2x 3x 3x 5x 5x 7 = 25200
Therefore, the value for common factors is 25200.
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 = 68796000000/(10x25200)
LCM = 68796000000/252000
LCM = 273000
Thus, we can understand that the LCM of 750,210,840,520 is 273000.
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FAQs on LCM of 750, 210, 840, 520
1. What is the LCM of 750, 210, 840, 520?
Answer: LCM of 750, 210, 840, 520 is 273000.
2. How to calculate the LCM of 750, 210, 840, 520?
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 750, 210, 840, 520.
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}.