LCM of 749, 548, 840, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 548, 840, 180 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 749, 548, 840, 180. So, keep reading to learn more.
Given numbers are 749,548,840,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,548,840,180 is 36940680.
Find LCM of 749,548,840,180 with Prime Factorization
| 2 | 749, 548, 840, 180 |
| 2 | 749, 274, 420, 90 |
| 3 | 749, 137, 210, 45 |
| 5 | 749, 137, 70, 15 |
| 7 | 749, 137, 14, 3 |
| 107, 137, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 107 x 137 x 2 x 3 = 36940680
Therefore, the lowest common multiple of 749,548,840,180 is 36940680.
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.
749 x 548 x 840 x 180 = 62060342400
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.
749 : 1, 7, 107, 749
548 : 1, 2, 4, 137, 274, 548
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
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,548,840,180, is 1.
Now, the common factors can be found like this.
749:7x 107
548:2x 2x 137
840:2x 2x 2x 3x 5x 7
180:2x 2x 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 7 = 1680
Therefore, the value for common factors is 1680.
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 = 62060342400/(1x1680)
LCM = 62060342400/1680
LCM = 36940680
Thus, we can understand that the LCM of 749,548,840,180 is 36940680.
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FAQs on LCM of 749, 548, 840, 180
1. What is the LCM of 749, 548, 840, 180?
Answer: LCM of 749, 548, 840, 180 is 36940680.
2. How to calculate the LCM of 749, 548, 840, 180?
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 749, 548, 840, 180.
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}.