LCM of 547, 420, 735, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 420, 735, 865 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 547, 420, 735, 865. So, keep reading to learn more.
Given numbers are 547,420,735,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,420,735,865 is 278215140.
Find LCM of 547,420,735,865 with Prime Factorization
| 3 | 547, 420, 735, 865 |
| 5 | 547, 140, 245, 865 |
| 7 | 547, 28, 49, 173 |
| 547, 4, 7, 173 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 547 x 4 x 7 x 173 = 278215140
Therefore, the lowest common multiple of 547,420,735,865 is 278215140.
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.
547 x 420 x 735 x 865 = 146062948500
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.
547 : 1, 547
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,420,735,865, is 1.
Now, the common factors can be found like this.
547:547
420:2x 2x 3x 5x 7
735:3x 5x 7x 7
865:5x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 7 = 525
Therefore, the value for common factors is 525.
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 = 146062948500/(1x525)
LCM = 146062948500/525
LCM = 278215140
Thus, we can understand that the LCM of 547,420,735,865 is 278215140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 547, 420, 735, 865
1. What is the LCM of 547, 420, 735, 865?
Answer: LCM of 547, 420, 735, 865 is 278215140.
2. How to calculate the LCM of 547, 420, 735, 865?
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 547, 420, 735, 865.
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}.