LCM of 420, 123, 350, 721, 547
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 123, 350, 721, 547 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 420, 123, 350, 721, 547. So, keep reading to learn more.
Given numbers are 420,123,350,721,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,123,350,721,547 is 4850960100.
Find LCM of 420,123,350,721,547 with Prime Factorization
| 2 | 420, 123, 350, 721, 547 |
| 3 | 210, 123, 175, 721, 547 |
| 5 | 70, 41, 175, 721, 547 |
| 7 | 14, 41, 35, 721, 547 |
| 2, 41, 5, 103, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 2 x 41 x 5 x 103 x 547 = 4850960100
Therefore, the lowest common multiple of 420,123,350,721,547 is 4850960100.
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.
420 x 123 x 350 x 721 x 547 = 7130911347000
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
123 : 1, 3, 41, 123
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
721 : 1, 7, 103, 721
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,123,350,721,547, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
123:3x 41
350:2x 5x 5x 7
721:7x 103
547:547
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 7 = 1470
Therefore, the value for common factors is 1470.
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 = 7130911347000/(1x1470)
LCM = 7130911347000/1470
LCM = 4850960100
Thus, we can understand that the LCM of 420,123,350,721,547 is 4850960100.
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FAQs on LCM of 420, 123, 350, 721, 547
1. What is the LCM of 420, 123, 350, 721, 547?
Answer: LCM of 420, 123, 350, 721, 547 is 4850960100.
2. How to calculate the LCM of 420, 123, 350, 721, 547?
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 420, 123, 350, 721, 547.
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}.