LCM of 155, 735, 721, 533, 281
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 155, 735, 721, 533, 281 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 155, 735, 721, 533, 281. So, keep reading to learn more.
Given numbers are 155,735,721,533,281
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,735,721,533,281 is 351495513915.
Find LCM of 155,735,721,533,281 with Prime Factorization
| 5 | 155, 735, 721, 533, 281 |
| 7 | 31, 147, 721, 533, 281 |
| 31, 21, 103, 533, 281 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 31 x 21 x 103 x 533 x 281 = 351495513915
Therefore, the lowest common multiple of 155,735,721,533,281 is 351495513915.
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.
155 x 735 x 721 x 533 x 281 = 12302342987025
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.
155 : 1, 5, 31, 155
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
721 : 1, 7, 103, 721
533 : 1, 13, 41, 533
281 : 1, 281
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,735,721,533,281, is 1.
Now, the common factors can be found like this.
155:5x 31
735:3x 5x 7x 7
721:7x 103
533:13x 41
281:281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 12302342987025/(1x35)
LCM = 12302342987025/35
LCM = 351495513915
Thus, we can understand that the LCM of 155,735,721,533,281 is 351495513915.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 155, 735, 721, 533, 281
1. What is the LCM of 155, 735, 721, 533, 281?
Answer: LCM of 155, 735, 721, 533, 281 is 351495513915.
2. How to calculate the LCM of 155, 735, 721, 533, 281?
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 155, 735, 721, 533, 281.
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}.