LCM of 537, 749, 189, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 537, 749, 189, 210 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 537, 749, 189, 210. So, keep reading to learn more.
Given numbers are 537,749,189,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,749,189,210 is 36199170.
Find LCM of 537,749,189,210 with Prime Factorization
| 3 | 537, 749, 189, 210 |
| 7 | 179, 749, 63, 70 |
| 179, 107, 9, 10 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 179 x 107 x 9 x 10 = 36199170
Therefore, the lowest common multiple of 537,749,189,210 is 36199170.
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.
537 x 749 x 189 x 210 = 15963833970
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.
537 : 1, 3, 179, 537
749 : 1, 7, 107, 749
189 : 1, 3, 7, 9, 21, 27, 63, 189
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,749,189,210, is 1.
Now, the common factors can be found like this.
537:3x 179
749:7x 107
189:3x 3x 3x 7
210:2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7 = 441
Therefore, the value for common factors is 441.
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 = 15963833970/(1x441)
LCM = 15963833970/441
LCM = 36199170
Thus, we can understand that the LCM of 537,749,189,210 is 36199170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 537, 749, 189, 210
1. What is the LCM of 537, 749, 189, 210?
Answer: LCM of 537, 749, 189, 210 is 36199170.
2. How to calculate the LCM of 537, 749, 189, 210?
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 537, 749, 189, 210.
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}.