Find the LCM of 830, 437, 292, 368, 540 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 830, 437, 292, 368, 540. So, keep reading to learn more.
Given numbers are 830,437,292,368,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,437,292,368,540 is 5719211280.
Find LCM of 830,437,292,368,540 with Prime Factorization
2 | 830, 437, 292, 368, 540 |
2 | 415, 437, 146, 184, 270 |
5 | 415, 437, 73, 92, 135 |
23 | 83, 437, 73, 92, 27 |
83, 19, 73, 4, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 83 x 19 x 73 x 4 x 27 = 5719211280
Therefore, the lowest common multiple of 830,437,292,368,540 is 5719211280.
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.
830 x 437 x 292 x 368 x 540 = 21046697510400
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
437 : 1, 19, 23, 437
292 : 1, 2, 4, 73, 146, 292
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,437,292,368,540, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
437:19x 23
292:2x 2x 73
368:2x 2x 2x 2x 23
540:2x 2x 3x 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 2x 5x 23 = 3680
Therefore, the value for common factors is 3680.
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 = 21046697510400/(1x3680)
LCM = 21046697510400/3680
LCM = 5719211280
Thus, we can understand that the LCM of 830,437,292,368,540 is 5719211280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 830, 437, 292, 368, 540?
Answer: LCM of 830, 437, 292, 368, 540 is 5719211280.
2. How to calculate the LCM of 830, 437, 292, 368, 540?
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 830, 437, 292, 368, 540.
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}.