LCM of 696, 348, 368, 749, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 348, 368, 749, 203 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 696, 348, 368, 749, 203. So, keep reading to learn more.
Given numbers are 696,348,368,749,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,348,368,749,203 is 23979984.
Find LCM of 696,348,368,749,203 with Prime Factorization
| 2 | 696, 348, 368, 749, 203 |
| 2 | 348, 174, 184, 749, 203 |
| 2 | 87, 174, 92, 749, 203 |
| 3 | 87, 87, 46, 749, 203 |
| 7 | 29, 29, 46, 749, 203 |
| 29 | 29, 29, 46, 107, 29 |
| 1, 1, 46, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 29 x 1 x 1 x 46 x 107 x 1 = 23979984
Therefore, the lowest common multiple of 696,348,368,749,203 is 23979984.
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.
696 x 348 x 368 x 749 x 203 = 13552335917568
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
749 : 1, 7, 107, 749
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,348,368,749,203, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
348:2x 2x 3x 29
368:2x 2x 2x 2x 23
749:7x 107
203:7x 29
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 3x 7x 29x 29 = 565152
Therefore, the value for common factors is 565152.
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 = 13552335917568/(1x565152)
LCM = 13552335917568/565152
LCM = 23979984
Thus, we can understand that the LCM of 696,348,368,749,203 is 23979984.
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FAQs on LCM of 696, 348, 368, 749, 203
1. What is the LCM of 696, 348, 368, 749, 203?
Answer: LCM of 696, 348, 368, 749, 203 is 23979984.
2. How to calculate the LCM of 696, 348, 368, 749, 203?
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 696, 348, 368, 749, 203.
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}.