LCM of 735, 196, 342, 912, 526
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 196, 342, 912, 526 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 735, 196, 342, 912, 526. So, keep reading to learn more.
Given numbers are 735,196,342,912,526
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,196,342,912,526 is 176294160.
Find LCM of 735,196,342,912,526 with Prime Factorization
| 2 | 735, 196, 342, 912, 526 |
| 2 | 735, 98, 171, 456, 263 |
| 3 | 735, 49, 171, 228, 263 |
| 7 | 245, 49, 57, 76, 263 |
| 7 | 35, 7, 57, 76, 263 |
| 19 | 5, 1, 57, 76, 263 |
| 5, 1, 3, 4, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 19 x 5 x 1 x 3 x 4 x 263 = 176294160
Therefore, the lowest common multiple of 735,196,342,912,526 is 176294160.
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.
735 x 196 x 342 x 912 x 526 = 23634700266240
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
526 : 1, 2, 263, 526
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,196,342,912,526, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
196:2x 2x 7x 7
342:2x 3x 3x 19
912:2x 2x 2x 2x 3x 19
526:2x 263
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 3x 7x 7x 19 = 134064
Therefore, the value for common factors is 134064.
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 = 23634700266240/(1x134064)
LCM = 23634700266240/134064
LCM = 176294160
Thus, we can understand that the LCM of 735,196,342,912,526 is 176294160.
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FAQs on LCM of 735, 196, 342, 912, 526
1. What is the LCM of 735, 196, 342, 912, 526?
Answer: LCM of 735, 196, 342, 912, 526 is 176294160.
2. How to calculate the LCM of 735, 196, 342, 912, 526?
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 735, 196, 342, 912, 526.
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}.